Let g(x) = So" f(t) dt, where f is the function whose graph is shown below. (a) Evaluate g(x) for x = 0, 1, 2, 3, 4, 5, and 6. g(0) 9(1) = g(2) = 9(3) = g(4) = g(5) = g(6) = (b) Estimate g(7). g(7) 2 (c) At what value of x does g attain its maximum? x = (d) At what value of x does g attain its minimum? x = Graph of f: YA 3 -2 -1 6 4+

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 52E
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Let g(x) = S" f(t) dt, where f is the function whose graph is shown below.
(a) Evaluate g() for x = 0, 1, 2, 3, 4, 5, and 6.
g(0) =
g(1) =
g(2) =
g(3) =
g(4) =
g(5) =
g(6) =
(b) Estimate g(7).
g(7) 2
(c) At what value of x does g attain its maximum?
x =
(d) At what value of x does g attain its minimum?
x =
Graph of f:
YA
-3
-2
1
1
4
t
Transcribed Image Text:Let g(x) = S" f(t) dt, where f is the function whose graph is shown below. (a) Evaluate g() for x = 0, 1, 2, 3, 4, 5, and 6. g(0) = g(1) = g(2) = g(3) = g(4) = g(5) = g(6) = (b) Estimate g(7). g(7) 2 (c) At what value of x does g attain its maximum? x = (d) At what value of x does g attain its minimum? x = Graph of f: YA -3 -2 1 1 4 t
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