Let f(x) be continuous function on the interval (-3,3) whose first derivative has the following signs and values given in the table below: -2

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
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Let f (x) be continuous function on the interval (−3,3)

whose first derivative has the following signs and values given in the table below:

22.
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ASK YOUR TEACHER
Let f(x) be continuous function on the interval (-3,3) whose first derivative has the following signs and values given in the table below:
-3 <x < -2
positive
-2 < x < 0 | 0|0 < x < 1 | 1 |1< x < 3
-2
f(x)
positive
negative
positive
Identify the x -coordinates of ALL relative minima and maxima of f(x) on (-3,3).
O A. Relative maximum at x = 0; Relative minimum at x = 1
O B. Relative maximum at x = -2 AND x=0; Relative minimum at x = 1
o C. Relative maximum at x = O AND x=1; Relative minimum at x = -2
O D. There are no relative extrema on (-3,3)
o E. Relative maximum at x = 1; Relative minimum at x = 0
Transcribed Image Text:22. DETAILS MY NOTES ASK YOUR TEACHER Let f(x) be continuous function on the interval (-3,3) whose first derivative has the following signs and values given in the table below: -3 <x < -2 positive -2 < x < 0 | 0|0 < x < 1 | 1 |1< x < 3 -2 f(x) positive negative positive Identify the x -coordinates of ALL relative minima and maxima of f(x) on (-3,3). O A. Relative maximum at x = 0; Relative minimum at x = 1 O B. Relative maximum at x = -2 AND x=0; Relative minimum at x = 1 o C. Relative maximum at x = O AND x=1; Relative minimum at x = -2 O D. There are no relative extrema on (-3,3) o E. Relative maximum at x = 1; Relative minimum at x = 0
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