2. The first two derivatives of a function f (x) are positive/negative on the intervals indicated on the number lines below, and equal to 0 at the values indicated. Determine the intervals on which f(x) is increasing, decreasing, concave up, and concave down. Also determine at which x-values the function has local minima/maxima, and inflection points. + + + f'(x) -5

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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12. The first two derivatives of a functionf(x) are positive/negative on the intervals indicated on the number
lines below, and equal to 0 at the values indicated. Determine the intervals on which f (x) is increasing,
decreasing, concave up, and concave down. Also determine at which x-values the function has local
minima/maxima, and inflection points.
+
f'(x)
-5
-2
1
+
+
+
f"(x)
-5
Transcribed Image Text:12. The first two derivatives of a functionf(x) are positive/negative on the intervals indicated on the number lines below, and equal to 0 at the values indicated. Determine the intervals on which f (x) is increasing, decreasing, concave up, and concave down. Also determine at which x-values the function has local minima/maxima, and inflection points. + f'(x) -5 -2 1 + + + f"(x) -5
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