(d) Sketch the graph of g. у 2 1 -1 -2 3 у 2 1 -1 -2F 16 X t 2 4 6 8 3 у 2 1 -1 -2 2 1 -1 у -2 t 2 4 6 8 2 4 6 8 X Let g(x) = f(t) dt, where f is the function whose graph is shown. 3 y f(t) MA t (a) At what values of x do the local maximum and minimum values of g occur? Xmin = Xmin = Xmax = Xmax = (smaller x-value) (larger x-value) (smaller x-value) (larger x-value) (b) Where does g attain its absolute maximum value? x = (c) On what interval is g concave downward? (Enter your answer using interval notation.)
(d) Sketch the graph of g. у 2 1 -1 -2 3 у 2 1 -1 -2F 16 X t 2 4 6 8 3 у 2 1 -1 -2 2 1 -1 у -2 t 2 4 6 8 2 4 6 8 X Let g(x) = f(t) dt, where f is the function whose graph is shown. 3 y f(t) MA t (a) At what values of x do the local maximum and minimum values of g occur? Xmin = Xmin = Xmax = Xmax = (smaller x-value) (larger x-value) (smaller x-value) (larger x-value) (b) Where does g attain its absolute maximum value? x = (c) On what interval is g concave downward? (Enter your answer using interval notation.)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
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
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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