Let f(t) be the piecewise linear function with domain 0 < t< 8 shown in the graph below (which is determined by connecting the dots). Define a function A(x) with domain 0 < x< 8 by A(z) = f(e) dt. Notice that A(x) is the net area under the function f(t) for 0
Let f(t) be the piecewise linear function with domain 0 < t< 8 shown in the graph below (which is determined by connecting the dots). Define a function A(x) with domain 0 < x< 8 by A(z) = f(e) dt. Notice that A(x) is the net area under the function f(t) for 0
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.2: Linear Functions And Applications
Problem 33PS
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I am unsure about how to answer part b and c of the attached question.

Transcribed Image Text:Let f(t) be the piecewise linear function with domain 0 <t<8shown in the graph below (which is determined by connecting the dots). Define a function A(x) with domain 0 < x < 8 by
A(x)=
f(t) dt.
Notice that A(x) is the net area under the function f(t) for 0 <t < x. If you click on the graph below, a full-size picture of the graph will open in another window.
1.0
1
Graph of y
f(t)
(A) Find the following values of the function A(x).
А (0)
А(1)
А(2)
А(3)
А(4)
A(5)
A(6)
A(7)
A(8)
(B) Use interval notation to indicate the interval or union of intervals where A(x) is increasing and decreasing.
A(x) is increasing for æ in the interval
A(x) is decreasing for a in the interval
(C) Find where A(x) has its maximum and minimum values.
A(x) has its maximum value when x =
A(x) has its minimum value when x =
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