Let g(x) : f(t) dt, where f is the function whose graph is shown. y 3 2 1 16 24 32 -1 -3 (a) At what values of x do the local maximum and minimum values of g occur? Xmin = (smaller x-value) Xmin = (larger x-value) Xmax = (smaller x-value) Xmax | (larger x-value) (b) Where does g attain its absolute maximum value? (c) On what inteerval is a concave downward? (Enter vour answer using interval notation 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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Let g(x)
f(t) dt, where f is the function whose graph is shown.
y
3
fit}
2
8
16
24
32
-1
-3F
(a) At what values of x do the local maximum and minimum values of g occur?
Xmin
(smaller x-value)
Xmin
(larger x-value)
%3D
Xmax
(smaller x-value)
Xmax
(larger x-value)
%D
(b) Where does g attain its absolute maximum value?
X =
(c) On what interval is g concave downward? (Enter your answer using interval notation.)
2.
Transcribed Image Text:Let g(x) f(t) dt, where f is the function whose graph is shown. y 3 fit} 2 8 16 24 32 -1 -3F (a) At what values of x do the local maximum and minimum values of g occur? Xmin (smaller x-value) Xmin (larger x-value) %3D Xmax (smaller x-value) Xmax (larger x-value) %D (b) Where does g attain its absolute maximum value? X = (c) On what interval is g concave downward? (Enter your answer using interval notation.) 2.
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