4. The function G is defined on [0, 10]. It is an antiderivative of g and satisfies G(0) Sketch a graph of G. =-2.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Consider the graph of the function g shown below. The domain of g is [0, 10), and the
graph of g is comprised of two line segments and a quarter circle.
8.
5
4
2
2
8.
10
1. The function F is defined on [0, 10]. It is an antiderivative of g and satisfies F(7) = 0.
Sketch a graph of F.
2. Use your knowledge of area to compute F(4). Explain your reasoning.
3. Write a formula for F using an appropriate integral of g.
4. The function G is defined on (0, 10]. It is an antiderivative of g and satisfies G(0) = -2.
Sketch a graph of G.
5. Compute G(3) and G(10).
6. Compare and contrast the graphs of F and G.
Transcribed Image Text:Consider the graph of the function g shown below. The domain of g is [0, 10), and the graph of g is comprised of two line segments and a quarter circle. 8. 5 4 2 2 8. 10 1. The function F is defined on [0, 10]. It is an antiderivative of g and satisfies F(7) = 0. Sketch a graph of F. 2. Use your knowledge of area to compute F(4). Explain your reasoning. 3. Write a formula for F using an appropriate integral of g. 4. The function G is defined on (0, 10]. It is an antiderivative of g and satisfies G(0) = -2. Sketch a graph of G. 5. Compute G(3) and G(10). 6. Compare and contrast the graphs of F and G.
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