The domain is the set of all real numbers. One x-intercept is mc016-1.jpg. The amplitude is 4. The point mc016-2.jpg is on the graph. The y-intercept is (0, 0).1. Which function is graphed below? mc002-1.jpg. f (x) = cos (x) The graph of which function passes through (0,4) and has a minimum value at mc027-1.jpg? mc027-2.jpg A. Which set of transformations is needed to graph f (x) = -2sin (x) + 3 from the parent sine function? reflection across the x-axis, vertical stretching by a factor of 2, vertical ... Feb 20, 2019 · Multiply both sides by -1. If an inequality multiplied or divide by a negative number, then we need to change the sign of inequality. Subtract 12 from both sides. It means the value of function is always less than or equal to -12. Range = (-∞,-12] Standard viewing window means. X min = –10 and X max = 10. Y min = –10 and Y max = 10 The graph crosses the y-axis at 1. The domain is all real numbers, and the range is all real numbers less than 2. x 2 ± 2x y ±2 2 ± 2±2 1.75 ±1 2 ± 2±1 1.5 0 2 ± 20 1 1 2 ± 21 0 2 2 ± 22 ±2 BIOLOGY The function f(t) = 100(1.05) t models the growth of a fruit fly population, where f (t) is the number of flies and t is time in days. a. Use the motion formula d = r t d=r t d = r t, distance equals rate times time, and the fact that light travels at the rate of 1.86 × 1 0 5 1.86 \times 10^5 1.86 × 1 0 5 miles per second, to solve. If the sun is approximately 9.14 × 1 0 7 9.14 \times 10^7 9.14 × 1 0 7 miles from Earth, how many seconds, to the nearest tenth of a second, does ...mc002-1.jpg. A) mc002-2.jpg. Which graph represents the following piecewise defined function? mc007-1.jpg. B) mc007-3.jpg. A country is considering two income tax rates. Geoffrey is comparing what his tax bill would be under each plan. Under plan A, he pays 5% on the first $10,000. The next $85,000 is taxed at a rate of 10%.Popular Problems. Algebra. Find the Domain and Range y = square root of x-5-1. y = √x − 5 − 1 y = x - 5 - 1. Set the radicand in √x−5 x - 5 greater than or equal to 0 0 to find where the expression is defined. x−5 ≥ 0 x - 5 ≥ 0. Add 5 5 to both sides of the inequality. x ≥ 5 x ≥ 5. The domain is all values of x x that make ... C. Compare and contrast the following piecewise defined functions. Both functions have the same domain - all real numbers except 0. Both functions are made up of linear and quadratic pieces on their domain.Neither function is continuous; f has jump discontinuity and g has point discontinuity. The range of f is y > 1 and the range of g is all ... Nov 10, 2018 · richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25 May 2, 2020 · Constant of Variation. The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y=kx (or y=kx ) where k is the constant of variation . arrow right. Explore similar answers. What is the simplest form of mc001-1.jpg. (A) sqrt 2. Which expression should you multiply the numerator and denominator of mc001-1.jpg by to rationalize the denominator? C. What is mc002-1.jpg in simplest form? A. What is the simplest form of mc001-1.jpg. D. The gravitational force formula is mc001-1.jpg where F is the force between two ...Study with Quizlet and memorize flashcards containing terms like Michael is cutting a 100-yard ribbon into pieces 3.4 yards long. He says that an inequality that represents his project is 3.4x es002-1.jpg 100. Explain what this statement means, in words, and what each part of the inequality represents., Last week, Jason ran 26.1 miles. He wants to run further this week. He plans to run 2.4 ...Since x does not equal x + 1 when x is an integer, the expressions are not equal when x is an integer. Describe the graph of y=4 [x+2] on [0, 3). Be specific in your description. There are three steps. The steps are at 8 from 0 to 1, at 12 from 1 to 2, and at 16 from 2 to 3. Closed circles are on the left side of each step, and open circles are ...The function domain is . Or in interval notation [5, ∞) Step-by-step explanation: we need to find the domain of . Domain definition :-The domain of a function is the set of input or argument values for which the function is real and defined. The function domain is . Or in interval notation [5, ∞)Since x does not equal x + 1 when x is an integer, the expressions are not equal when x is an integer. Describe the graph of y=4 [x+2] on [0, 3). Be specific in your description. There are three steps. The steps are at 8 from 0 to 1, at 12 from 1 to 2, and at 16 from 2 to 3. Closed circles are on the left side of each step, and open circles are ...Sketch the graph of mr001-1.jpg. Reflect the graph across the y-axis to show the function mr001-2.jpg. Stretch the graph vertically by a factor of 3 to show the function mr001-3.jpg . Shift the graph up 2 units to show the function mr001-4.jpg . Step-by-step explanation:May 19, 2020 · This ratio converts pounds to kilograms, where 1 kilogram is approximately equal to 2.2 pounds. The lb unit cancels out, leaving you with the value in kilograms: (46 lb) × (1 kg/2.2 lb) = 20.9091 kg (rounded to four decimal places). Lastly, multiply by the conversion factor 1000/1 kg to convert the result to grams (since 1 kg = 1000 grams). Use the identity below to complete the tasks: a3 + b3 = (a + b)(a2 - ab + b2) Use the identity for the sum of two cubes to factor 8q6r3 + 27s6t3. What is a? What is b? Factor the expression. es003-1.jpg es003-2.jpg es004-1.jpg es005-1.jpg es006-1.jpgDomain is the entire span left to right (on the x-axis) that the graph is on. Since the graph goes from x=-4 and ends at x=4, the domain would be from -4 to 4. The circle at -4 is open, so it does not include the point at -4, just everything leading up to it. So, the domain would beUse Vocabulary to Describe a Graph What is the domain of the relation? ≤x≤6 -6 4 -4 6 E h 2 T 4 2 Get the answers you need, now!The domain of a function is the set of all possible values of x we know that the radicand of the function must be greater than or equal to zero. so. solve for x. therefore. The domain is . Find the range. Remember that. The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain. For x=7Oct 5, 2020 · Es001-1.jpg a = b = c = - 24826521. vinaysingh9383 vinaysingh9383 06.10.2020 Math Secondary School answered Es001-1.jpg a = b = c = help needed i will give u points The domain is the set of all real numbers One x-intercept The amplitude is 4 The y-intercept is (0,0) From the choices, the functions containing "cosine" can be eliminated since the described function passes through (0,0). So, we are left with two choices: y = -4sin (x) and y = 4sin (x) Given the amplitude of 4, the answer must be y = 4 sin(x)Es002-1. Jpg evaluate vincent’s proportion to determine if it is correct. Explain your reasoning. ... How much would an order of 1 slice of cheese pizza and 3 sodas ...The domain is the set of all real numbers One x-intercept The amplitude is 4 The y-intercept is (0,0) From the choices, the functions containing "cosine" can be eliminated since the described function passes through (0,0). So, we are left with two choices: y = -4sin (x) and y = 4sin (x) Given the amplitude of 4, the answer must be y = 4 sin(x)May 31, 2018 · What are the domain and range of mc018-1.jpg? domain: x > ???6; range: y > 4 domain: x > ???6; range: all real numbers domain: x > 6; range: y > ???4 domain: x > 6; range: all real numbers Expert-Verified Answer 40 people found it helpful saadhussain514 The given function is a logrithmic function: f (x) = ㏒ (x+6) - 4 Dec 20, 2017 · A student uses the division shown to divide –3x4 + 15x3 – x + 5 by x – 5, and concludes that x – 5 is not a factor of the polynomial. es002-1.jpg Describe two errors the student made. Dec 8, 2021 · Expert-Verified Answer question 37 people found it helpful MrRoyal report flag outlined The reference angle is the smallest angle between the terminal side and the x-axis. 300 degrees is in the 4th quadrant. So, the reference angle is Hence, the reference angle of 300 degrees is 60 degrees 225 degrees is in the 3rd quadrant. Feb 21, 2018 · MrRoyal. Real numbers are set of numbers that include rational and irrational numbers. [x]= [x+1] is not true for all real numbers. Assume that: x is an integer. And x = 5. So, the equation becomes. The above equation is not true, because: Hence, [x]= [x+1] is not true for all real numbers. Read more about real numbers at: Sep 8, 2022 · question If es002-1.jpgand g (x) = 1 - x2, then what do you notice about the domain of es002-2.jpg ? answer The domain of f, and thus the range of g, is restricted to values greater than or equal to 3. If 1 minus x squared is greater than or equal to 3, then x squared must be less than -2. Jul 21, 2019 · Brand b costs $1.55 and is 12.9 ounces. Which brand is the better buy? Explain. HELP PLEASE The average high temperatures in degrees for a city are listed. 58, 61, 71 ... This ratio converts pounds to kilograms, where 1 kilogram is approximately equal to 2.2 pounds. The lb unit cancels out, leaving you with the value in kilograms: (46 lb) × (1 kg/2.2 lb) = 20.9091 kg (rounded to four decimal places). Lastly, multiply by the conversion factor 1000/1 kg to convert the result to grams (since 1 kg = 1000 grams).richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.251) Rewrite the equation by factoring -8 from the radicand and taking the cube root to get -2 in front of the radical symbol. 2) The graph is reflected over the x-axis. 3) The graph is also reflected over the y-axis. 4) The graph is vertically stretched by a factor of 2. 5) The graph is translated ½ unit to the left.Dec 8, 2021 · Expert-Verified Answer question 37 people found it helpful MrRoyal report flag outlined The reference angle is the smallest angle between the terminal side and the x-axis. 300 degrees is in the 4th quadrant. So, the reference angle is Hence, the reference angle of 300 degrees is 60 degrees 225 degrees is in the 3rd quadrant. Study with Quizlet and memorize flashcards containing terms like Evaluate the function for the indicated values of x. f(-10)= f(2)= f(-5)= f(-1)= f(8)=, Which rule describes the function whose graph is shown?, 1. Step 1: Enter the expression you want to simplify into the editor. The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form. The calculator works for both numbers and expressions containing variables. Step 2: Click the blue arrow to submit and see the result!Jul 21, 2019 · Brand b costs $1.55 and is 12.9 ounces. Which brand is the better buy? Explain. HELP PLEASE The average high temperatures in degrees for a city are listed. 58, 61, 71 ... The matching is defined as 1-B, 2-C, 3-E, 4-D, 5-A. Step-by-step explanation: The given expression are. 1. Therefore the answer of this expression is option B. 2. Therefore the answer of this expression is option C. 3. Therefore the answer of this expression is option E. 4. Therefore the answer of this expression is option D. 5.May 19, 2020 · This ratio converts pounds to kilograms, where 1 kilogram is approximately equal to 2.2 pounds. The lb unit cancels out, leaving you with the value in kilograms: (46 lb) × (1 kg/2.2 lb) = 20.9091 kg (rounded to four decimal places). Lastly, multiply by the conversion factor 1000/1 kg to convert the result to grams (since 1 kg = 1000 grams). Move the slider on the graph on the right to graph each function: For the function: y=_/x-7+1 For the function y=_/x-7-1 The domain is:x>7 The Range is:y>1 The domain is:x>7 The range is:y>-1 This graph shows both a reflection and a translation. domain: the set of all states. range: the set of all senators. (remember each state has two senators) 1. this relation is. create your own real-world example of a relation that is a function. 2. domain: the set of ___. 3. range: the set of ___. 4. explain why your relation is a function. 1. not a function.Option C. Which of the following describes the graph of compared with the parent cube root function? 1. translated 2 units right. 2. translated 5 units up. 3. stretched by a factor of 3. 4. not reflected. Describe the transformation of the graph of the parent function y = √x for the function y = √x + 7 + 5. Domain is the entire span left to right (on the x-axis) that the graph is on. Since the graph goes from x=-4 and ends at x=4, the domain would be from -4 to 4. The circle at -4 is open, so it does not include the point at -4, just everything leading up to it. So, the domain would beJan 5, 2022 · Complete the following steps to find the LCD and write the sum of the numerators for the given problem: es002-1. Jpg Factor each denominator: x2 – 3x – 4 = x2 – 6x 8 = The least common denominator is: (x − 4)(x )(x − ). richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25Oct 12, 2020 · Click here 👆 to get an answer to your question ️ Evaluate each function over the set of real numbers. If f(x) = |x-3|, f (3) = -3 0 1 3 Undefined Domain of a Function Calculator Step 1: Enter the Function you want to domain into the editor. The domain calculator allows you to take a simple or complex function and find the domain in both interval and set notation instantly. Step 2: Click the blue arrow to submit and see the result!Study with Quizlet and memorize flashcards containing terms like The function mc024-1.jpg is used to model an object being tossed from a tall building, where h(t) is the height in meters and t is the time in seconds. Rounded to the nearest hundredth, what are the domain and range?, What are the domain and range of the function mc014-1.jpg? mc014-2.jpg, What are the domain and range of the ...The domain of a function is the set of all possible values of x we know that the radicand of the function must be greater than or equal to zero. so. solve for x. therefore. The domain is . Find the range. Remember that. The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain. For x=7On the other hand the domain of g(x) would be all real numbers because it is a polynomial function. Therefore . Then the domain of will be the same domain of . All positive real numbers, or x ∈ [0, ∞) -----If f(x) = then the domain of f(x) is . Therefore . Then the domain of will be the same domain of . or x ∈ [3, ∞)Jul 2, 2018 · The function domain is . Or in interval notation [5, ∞) Step-by-step explanation: we need to find the domain of . Domain definition :-The domain of a function is the set of input or argument values for which the function is real and defined. The function domain is . Or in interval notation [5, ∞) Mar 29, 2018 · Click here 👆 to get an answer to your question ️ r(x)=2√x s(x)=√x (rs)(4) question If es002-1.jpgand g (x) = 1 - x2, then what do you notice about the domain of es002-2.jpg ? answer The domain of f, and thus the range of g, is restricted to values greater than or equal to 3. If 1 minus x squared is greater than or equal to 3, then x squared must be less than -2.Nov 10, 2018 · richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25 1. The domain of the function is the set of all real numbers. 2. The range of the function is the set of all integers. 3. The graph has a at and in the interval . 4. The graph is constant between each pair of consecutive integers. 5. The graph jumps vertically one unit at each integer value. So, the value we are looking for is: From the figure ...Step 1 - Draw the graph of exponential function . Step 2 - Now, shift the graph upwards in y axis by 2 units. The resulting graph is of function . Step 3 - Now, replace x with -x in the function and graph of the function is reflected about y-axis. The resulting graph is of the function . For more information, refer the link given below:About absolute value equations. Solve an absolute value equation using the following steps: Get the absolve value expression by itself. Set up two equations and solve them separately.Nov 10, 2018 · richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25 What are the domain and range of mc018-1.jpg? domain: x > ???6; range: y > 4 domain: x > ???6; range: all real numbers domain: x > 6; range: y > ???4 domain: x > 6; range: all real numbers Expert-Verified Answer 40 people found it helpful saadhussain514 The given function is a logrithmic function: f (x) = ㏒ (x+6) - 4Study with Quizlet and memorize flashcards containing terms like Evaluate the function for the indicated values of x. f(-10)= f(2)= f(-5)= f(-1)= f(8)=, Which rule describes the function whose graph is shown?, 1. domain: the set of all states. range: the set of all senators. (remember each state has two senators) 1. this relation is. create your own real-world example of a relation that is a function. 2. domain: the set of ___. 3. range: the set of ___. 4. explain why your relation is a function. 1. not a function. The domain is the set of all real numbers. One x-intercept is mc016-1.jpg. The amplitude is 4. The point mc016-2.jpg is on the graph. The y-intercept is (0, 0).Mar 26, 2020 · the domain of the function (the same one given above I'm assuming) is REAL NUMBERS GREATER THAN OR EQUAL TO 0. there are no i in the numbers, so natural numbers cannot be the right answer since imaginary numbers are excluded. integers great than or equal to 0 cannot be right since the line goes through values between integers What is the common difference of the arithmetic sequence graphed below? D 2. The relationship between men's whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of n. A men's size 9 fits a foot 10.31 inches long, and a men's size 13 fits a foot 11.71 inches long. May 31, 2018 · What are the domain and range of mc018-1.jpg? domain: x > ???6; range: y > 4 domain: x > ???6; range: all real numbers domain: x > 6; range: y > ???4 domain: x > 6; range: all real numbers Expert-Verified Answer 40 people found it helpful saadhussain514 The given function is a logrithmic function: f (x) = ㏒ (x+6) - 4 Dec 20, 2017 · A student uses the division shown to divide –3x4 + 15x3 – x + 5 by x – 5, and concludes that x – 5 is not a factor of the polynomial. es002-1.jpg Describe two errors the student made. Click here 👆 to get an answer to your question ️ Evaluate each function over the set of real numbers. If f(x) = |x-3|, f (3) = -3 0 1 3 UndefinedThe determinant of the coefficient matrix is equal to 2.. What is determinant of a matrix? The determinant of a matrix is the scalar value computed for a given square matrix. . Linear algebra deals with the determinant, it is computed using the elements of a square matrApr 10, 2021 · The third line goes from (1, 1) to (6, 4). There are closed circles at (-4,-4) and (6, 4). To find: The domain of the relation. Solution: Domain of relation is the set of x-values or the set of input values. First line is defined from -4 to -2, second line is defined from -2 to 1 and third line is defined from 1 to 6. Option C. Which of the following describes the graph of compared with the parent cube root function? 1. translated 2 units right. 2. translated 5 units up. 3. stretched by a factor of 3. 4. not reflected. Describe the transformation of the graph of the parent function y = √x for the function y = √x + 7 + 5. Click here 👆 to get an answer to your question ️ What is the domain of the function mc022-1.j pg? mc022-2.jp g mc022-3.jp g mc022-4.jp g mc022-5.jp gThe circumference in terms of es002-1.jpg is es002-2.jpgcm. Using 3.14 for es003-1.jpg, the approximate circumference of the circle is cm. 3. 3. 4. Choose which statements are true about mr001-1.jpg. Check all that apply. 3 4 5. The circumference of a circle is 16es001-1.jpg ft.Dilation is indicated by the 3 in the numerator of the fraction and will actually affect the main points marked on the graph. For the parent function y= 1/x, the coordinate (1,1) is the main point in the first quadrant and the coordinate (-1,-1) is the main point in the third quadrant. When a dilation occurs, it dilates the x value for one of ...Since we are not given the exact radian value to convert, we can assume the value of radians. Using the conversion factor: To convert radians to degrees, we will write: radians = x. Divide both expressions: Hence the value of radians to degrees is 90 degrees. Learn more on conversion here: brainly.com/question/12939121.On the other hand the domain of g(x) would be all real numbers because it is a polynomial function. Therefore . Then the domain of will be the same domain of . All positive real numbers, or x ∈ [0, ∞) -----If f(x) = then the domain of f(x) is . Therefore . Then the domain of will be the same domain of . or x ∈ [3, ∞)richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25Feb 21, 2018 · MrRoyal. Real numbers are set of numbers that include rational and irrational numbers. [x]= [x+1] is not true for all real numbers. Assume that: x is an integer. And x = 5. So, the equation becomes. The above equation is not true, because: Hence, [x]= [x+1] is not true for all real numbers. Read more about real numbers at: Sketch the graph of mr001-1.jpg. Reflect the graph across the y-axis to show the function mr001-2.jpg. Stretch the graph vertically by a factor of 3 to show the function mr001-3.jpg . Shift the graph up 2 units to show the function mr001-4.jpg . Step-by-step explanation:Domain: Range: ===== Explanation: The domain is the set of allowed x values. The left-most point on this graph is at (-4,5). This means x > -4 or -4 < x. The open hole indicates we don't include x = -4 as part of the domain. The right most point is at (4,-2). So . Combine and together to get the domain -----Domain of a Function Calculator Step 1: Enter the Function you want to domain into the editor. The domain calculator allows you to take a simple or complex function and find the domain in both interval and set notation instantly. Step 2: Click the blue arrow to submit and see the result!Step 1: Enter the expression you want to simplify into the editor. The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form. The calculator works for both numbers and expressions containing variables. Step 2: Click the blue arrow to submit and see the result!
Mar 14, 2018 · Click here 👆 to get an answer to your question ️ Use the identity below to complete the tasks: a3 + b3 = (a + b)(a2 - ab + b2) Use the identity for the sum o… . Free x rated movies
1) This is a translation of 4 units to the left. 2) This is a translation of 4 units to the right. 3) This is a vertical translation of 2 units down. 4) This is a vertical translation of 2 units up. First, we need to describe translations. Horizontal translation. For a given function f(x) a horizontal translation of N units is written as: g(x ...domain: the set of all states. range: the set of all senators. (remember each state has two senators) 1. this relation is. create your own real-world example of a relation that is a function. 2. domain: the set of ___. 3. range: the set of ___. 4. explain why your relation is a function. 1. not a function. domain: the set of all states. range: the set of all senators. (remember each state has two senators) 1. this relation is. create your own real-world example of a relation that is a function. 2. domain: the set of ___. 3. range: the set of ___. 4. explain why your relation is a function. 1. not a function.On the other hand the domain of g(x) would be all real numbers because it is a polynomial function. Therefore . Then the domain of will be the same domain of . All positive real numbers, or x ∈ [0, ∞) -----If f(x) = then the domain of f(x) is . Therefore . Then the domain of will be the same domain of . or x ∈ [3, ∞)And that negative 1 makes any negative radical expression imaginary. Lesson Summary. A radical is an expression with a square root symbol. The term under the square root symbol is called the ...Identify the reference angle es001-1. Jpg for each given angle, es001-2. Jpg. Es001-3. Jpg degrees. Es002-1. Jpg degrees. Es003-1. Jpg degrees. Es004-1. Jpg degrees.Jan 5, 2022 · Complete the following steps to find the LCD and write the sum of the numerators for the given problem: es002-1. Jpg Factor each denominator: x2 – 3x – 4 = x2 – 6x 8 = The least common denominator is: (x − 4)(x )(x − ). 1) This is a translation of 4 units to the left. 2) This is a translation of 4 units to the right. 3) This is a vertical translation of 2 units down. 4) This is a vertical translation of 2 units up. First, we need to describe translations. Horizontal translation. For a given function f(x) a horizontal translation of N units is written as: g(x ...Click here 👆 to get an answer to your question ️ Evaluate each function over the set of real numbers. If f(x) = |x-3|, f (3) = -3 0 1 3 UndefinedJan 5, 2022 · Complete the following steps to find the LCD and write the sum of the numerators for the given problem: es002-1. Jpg Factor each denominator: x2 – 3x – 4 = x2 – 6x 8 = The least common denominator is: (x − 4)(x )(x − ). Since x does not equal x + 1 when x is an integer, the expressions are not equal when x is an integer. Describe the graph of y=4 [x+2] on [0, 3). Be specific in your description. There are three steps. The steps are at 8 from 0 to 1, at 12 from 1 to 2, and at 16 from 2 to 3. Closed circles are on the left side of each step, and open circles are ... .
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