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
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 1ECP
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I am unsure about how to answer part b and c of the attached question.
![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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3cfeff4-8ba6-46a8-98d4-804b4f4f620a%2Fd3f16351-31ec-4e2c-adf8-b00e5af68cda%2Fd4vid9_processed.png&w=3840&q=75)
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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