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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
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.

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 =
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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