Let g(x) = f(t) dt, where f is the function whose graph is shown. y 20아 15 f 10 t 10 15 20 25 30 35 -5 -10 (a) Evaluate g(0), g(5), g(10), g(15), and g(30). g(0) g(5) g(10) g(15) g(30) (b) On what interval is g increasing? (Enter your answer using interval notation.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Let g(x) =
f(t) dt, where f is the function whose graph is shown.
y
20
15
f
10
5
5
10
15 20
25
30
35
-5
10
(a) Evaluate g(0), g(5), g(10), g(15), and g(30).
g(0) =
g(5) =
g(10)
g(15)
g(30)
(b) On what interval is g increasing? (Enter your answer using interval notation.)
Transcribed Image Text:Let g(x) = f(t) dt, where f is the function whose graph is shown. y 20 15 f 10 5 5 10 15 20 25 30 35 -5 10 (a) Evaluate g(0), g(5), g(10), g(15), and g(30). g(0) = g(5) = g(10) g(15) g(30) (b) On what interval is g increasing? (Enter your answer using interval notation.)
(c) Where does g have a maximum value?
X =
(d) Sketch a rough graph of g.
he
y
y
y
25
g(x)
g(x)
25
5
g(x)
25
X
5
y
25
g(x)
Transcribed Image Text:(c) Where does g have a maximum value? X = (d) Sketch a rough graph of g. he y y y 25 g(x) g(x) 25 5 g(x) 25 X 5 y 25 g(x)
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