(A) Over which intervals is f'(x) positive AND increasing? Circle ALL that apply. (i) (a, b) (ii) (b, c) (iii) (c, d) (iv) (d, e) (v) no such intervals exist (B) Over which intervals is f"(x) < 0? Circle ALL that apply. (i) (a,b) (ii) (b,c) (iii) (c,d) (iv) (d,e) (v) No such intervals (C) Which of the following best describes the behavior of f (x) on the interval (b, c)? Circle one below. I. Positive and increasing II. Positive and decreasing III. Negative and increasing IV. Negative and decreasing

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 53E
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Question

A graph of the function f is shown in the figure below.

y
|(b,f(b))|
|(e,f(e))
(a, f(a))
|(d,f(d))
|(c,f(c))
Transcribed Image Text:y |(b,f(b))| |(e,f(e)) (a, f(a)) |(d,f(d)) |(c,f(c))
(A) Over which intervals is f'(x) positive AND increasing? Circle ALL that apply.
(i) (a, b)
(ii) (b, c)
(iii) (c, d)
(iv) (d, e)
(v) no such intervals exist
(B) Over which intervals is f"(x) < 0? Circle ALL that apply.
(i) (a,b)
(ii) (b,c)
(iii) (c,d)
(iv) (d,e)
(v) No such intervals
(C) Which of the following best describes the behavior of f (x) on the interval (b, c)? Circle one below.
I. Positive and increasing
II. Positive and decreasing
III. Negative and increasing
IV. Negative and decreasing
Transcribed Image Text:(A) Over which intervals is f'(x) positive AND increasing? Circle ALL that apply. (i) (a, b) (ii) (b, c) (iii) (c, d) (iv) (d, e) (v) no such intervals exist (B) Over which intervals is f"(x) < 0? Circle ALL that apply. (i) (a,b) (ii) (b,c) (iii) (c,d) (iv) (d,e) (v) No such intervals (C) Which of the following best describes the behavior of f (x) on the interval (b, c)? Circle one below. I. Positive and increasing II. Positive and decreasing III. Negative and increasing IV. Negative and decreasing
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