The graph of fis shown below. For which values of x is f'(x) zero? -8 -6 -4 -2 Select one: 6 a. 4 2 2 पं ( -8 x = 0; x = 4 O b. x = 2; x = 0 O c. x=0; x = 6 Od x = -2 Y = 1 y f 2 4 16 8 지

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The graph of \( f \) is shown below. For which values of \( x \) is \( f'(x) \) zero?

![Graph depicting the function \( f \): A continuous curve showing changes along the x-axis and y-axis. The x-axis ranges from -8 to 8 and the y-axis from -8 to 8. The curve appears to have horizontal tangents at two points, likely representing local maxima or minima.]

**Select one:**

- a. \( x = 0; x = 4 \)
- b. \( x = 2; x = 0 \)
- c. \( x = 0; x = 6 \)
- d. \( x = -2; x = 1 \) ✘ Incorrect
- e. \( x = 0; x = -1 \)

Note: The question asks for the values of \( x \) where the derivative \( f'(x) \) is zero, typically at points where the function \( f \) has local maxima or minima.
Transcribed Image Text:The graph of \( f \) is shown below. For which values of \( x \) is \( f'(x) \) zero? ![Graph depicting the function \( f \): A continuous curve showing changes along the x-axis and y-axis. The x-axis ranges from -8 to 8 and the y-axis from -8 to 8. The curve appears to have horizontal tangents at two points, likely representing local maxima or minima.] **Select one:** - a. \( x = 0; x = 4 \) - b. \( x = 2; x = 0 \) - c. \( x = 0; x = 6 \) - d. \( x = -2; x = 1 \) ✘ Incorrect - e. \( x = 0; x = -1 \) Note: The question asks for the values of \( x \) where the derivative \( f'(x) \) is zero, typically at points where the function \( f \) has local maxima or minima.
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