The graph of a polynomial function,Ax), is pictured to the right. Which of the following statements is/are true about f'(x)? Graph of f(x) I. f'(x)<0 on the interval (-1, 2). (-1, 5) II. f'(x) changes from negative to positive when x=-1. III. There are two values of x such that f'(x)= 0. 4 -3 2 -1 A. I and III only B. Ionly C. III only D. I and II only (2, -2) in

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 36E
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The graph of a polynomial function, fx), is pictured to the right.
Which of the following statements is/are true about f'(x) ?
Graph of fx)
I. f'(x)<0 on the interval (-1, 2).
(-1, 5)
II. f"(x) changes from negative to positive when x=-1.
III. There are two values of x such that f'(x)= 0.
-4 -3 12 -1
A. I and III only
B. I only
C. II only
D. I and II only
E. I, II, and III
(2, -2)
Transcribed Image Text:The graph of a polynomial function, fx), is pictured to the right. Which of the following statements is/are true about f'(x) ? Graph of fx) I. f'(x)<0 on the interval (-1, 2). (-1, 5) II. f"(x) changes from negative to positive when x=-1. III. There are two values of x such that f'(x)= 0. -4 -3 12 -1 A. I and III only B. I only C. II only D. I and II only E. I, II, and III (2, -2)
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