Book Problem 1 Sketch the graph of the function f(x) = Let g(x) = f(t)dt. (a) Then g(-6) = g(-3) = (6) bon c 0 if x <-4 3 if -4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Book Problem 1
Sketch the graph of the function f(x) =
Let g(x) = ª* f(t)dt.
(a) Then g(-6)=
9(-3)
=
(c) g has a maximum value at x =
0 if x < -4
3 if -4 < x < 3
6-x if 3 < x < 8
-2 if x
8
(b) g is increasing on the interval (A,B) where A =,
g(3)
and B =
g(6)
=
g(8)
=
and g(10) =
Transcribed Image Text:Book Problem 1 Sketch the graph of the function f(x) = Let g(x) = ª* f(t)dt. (a) Then g(-6)= 9(-3) = (c) g has a maximum value at x = 0 if x < -4 3 if -4 < x < 3 6-x if 3 < x < 8 -2 if x 8 (b) g is increasing on the interval (A,B) where A =, g(3) and B = g(6) = g(8) = and g(10) =
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