The graph of f is shown in the figure. 4 -4 (a) For which values of x is f'(x) zero? (Enter your answers as a comma-separated list.) For which values of x is f'(x) positive? (Enter your answer using interval notation.) For which values of x is f'(x) negative? (Enter your answer using interval notation.) What do these values mean? f is ---Select--- O when f'> 0 and f is ---Select--- O when f' < 0. (b) For which values of x is f"(x) zero? (Enter your answers as a comma-separated list.) For which values of x is f"(x) positive? (Enter your answer using interval notation.) For which values of x is f"(x) negative? (Enter your answer using interval notation.) What do these values mean? f is ---Select--- when f"> 0 and f is ---Select--- when f" < 0. (c) On what open interval is f' an increasing function? (d) For which value of x is f'(x) minimum? For this value of x, how does the rate of change of f compare with the rates of change of f for other values of x? Explain. The rate of change of f at this value of x is ---Select--- * the rate of change of f for all other values of x.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.6: Absolute Value Functions
Problem 8SE: Find all function values f(x) such that the distance from f(x) to the value 8 is less than 0.03...
Question
The graph of f is shown in the figure.
4
-4
(a) For which values of x is f'(x) zero? (Enter your answers as a comma-separated list.)
For which values of x is f'(x) positive? (Enter your answer using interval notation.)
For which values of x is f'(x) negative? (Enter your answer using interval notation.)
What do these values mean?
f is
---Select---
O when f'> 0 and f is
---Select---
O when f' < 0.
Transcribed Image Text:The graph of f is shown in the figure. 4 -4 (a) For which values of x is f'(x) zero? (Enter your answers as a comma-separated list.) For which values of x is f'(x) positive? (Enter your answer using interval notation.) For which values of x is f'(x) negative? (Enter your answer using interval notation.) What do these values mean? f is ---Select--- O when f'> 0 and f is ---Select--- O when f' < 0.
(b) For which values of x is f"(x) zero? (Enter your answers as a comma-separated list.)
For which values of x is f"(x) positive? (Enter your answer using interval notation.)
For which values of x is f"(x) negative? (Enter your answer using interval notation.)
What do these values mean?
f is ---Select---
when f"> 0 and f is ---Select---
when f" < 0.
(c) On what open interval is f' an increasing function?
(d) For which value of x is f'(x) minimum?
For this value of x, how does the rate of change of f compare with the rates of change of f for other values of x? Explain.
The rate of change of f at this value of x is
---Select---
* the rate of change of f for all other values of x.
Transcribed Image Text:(b) For which values of x is f"(x) zero? (Enter your answers as a comma-separated list.) For which values of x is f"(x) positive? (Enter your answer using interval notation.) For which values of x is f"(x) negative? (Enter your answer using interval notation.) What do these values mean? f is ---Select--- when f"> 0 and f is ---Select--- when f" < 0. (c) On what open interval is f' an increasing function? (d) For which value of x is f'(x) minimum? For this value of x, how does the rate of change of f compare with the rates of change of f for other values of x? Explain. The rate of change of f at this value of x is ---Select--- * the rate of change of f for all other values of x.
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