Let g(x) = f(t) dt, where f is the function whose graph is shown. 3 2 1 y 1 2 3 4 5 6 7 -1 (a) Evaluate g(x) for x = 0, 1, 2, 3, 4, 5, and 6. g(0) = = 0 9(1)= 12 1/2 g(2) = 0 g(3) = -1/2 9(4)= 0 9(5) == 3/2 9(6)- 4 (b) Estimate g(7). (Use the midpoint to get the most precise estimate.) g(7) = = X (c) Where does g have a maximum value? Where does it have a minimum value? minimum X = 3 maximum x = 7 (d) Sketch

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
Question
Let g(x) =
f(t) dt, where f is the function whose graph is shown.
3
2
1
y
1
2
3
4 5
6
7
-1
(a) Evaluate g(x) for x = 0, 1, 2, 3, 4, 5, and 6.
g(0) =
=
0
9(1)=
12
1/2
g(2) = 0
g(3) = -1/2
9(4)=
0
9(5)
== 3/2
9(6)- 4
(b) Estimate g(7). (Use the midpoint to get the most precise estimate.)
g(7) =
=
X
(c) Where does g have a maximum value? Where does it have a minimum value?
minimum
X = 3
maximum
x =
7
(d) Sketch
Transcribed Image Text:Let g(x) = f(t) dt, where f is the function whose graph is shown. 3 2 1 y 1 2 3 4 5 6 7 -1 (a) Evaluate g(x) for x = 0, 1, 2, 3, 4, 5, and 6. g(0) = = 0 9(1)= 12 1/2 g(2) = 0 g(3) = -1/2 9(4)= 0 9(5) == 3/2 9(6)- 4 (b) Estimate g(7). (Use the midpoint to get the most precise estimate.) g(7) = = X (c) Where does g have a maximum value? Where does it have a minimum value? minimum X = 3 maximum x = 7 (d) Sketch
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