Explanation Given: y = | x − 2 | We know that the critical points are the points at which the derivatives of the function become zero or undefined. Let, f ( x ) = y = | x − 2 | Instead of differentiating we solve the above function. For x < 2, we have f’(x) = – 1 and for x > 2, we have f’(x) = 1. Now, as x → 2 − , we have f ( x ) − f ( 2 ) x − 2 = ( 2 − x ) − 0 x − 2 → − 1 Whereas, x → 2 + , we have f ( x ) − f ( 2 ) x − 2 = ( x − 2 ) − 0 x − 2 → 1

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 4.2, Problem 53E

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To find all the critical points of the function y=|x−2|

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Chapter 4.2, Problem 52E

Chapter 4.2, Problem 54E

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4) Mr. ABC believes that there has been an increase in the number of tornadoes in city XYZ. The increase of tornadoes per region since 1970 can be represented by the equation t = 4.5y + 250, where y is elapsed time in years since 1970 and t is tornadoes per region. Which statements are supported by Mr. ABC's belief? Choose all that are correct. a) In 1970, the tornadoes per region were about 4.5 (Hint: Plug in zero for y) b) If the trend represented by the equation continues, the tornadoes will be about 430 in 2010.(Hint: plug in the number of years since 1970 to 2010 and see what you get) c) In 1970 the number of tornadoes per region was about 250 (Hint: Plug in zero for y) d) The equation shows that the increase in tornadoes per region from one year to the next is 4.5 e) If the trend represented by the equation continues, the tornadoes will be about 9,115 in 2010 (Hint: plug in the number of years since 1970 to 2010 and see what you get) f) The equation shows that the increase in…

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Chapter 4 Solutions

Calculus - Standalone book

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

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To find all the critical points of the function y = | x − 2 |

Solution Summary: The author explains that the critical points are the points at which the derivatives of the function become zero or undefined.

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To find all the critical points of the function y=|x−2|

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Chapter 4 Solutions