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?The graph of a function \(f\) is shown. Let \(g\) be the function that represents the
Chapter 4, Problem 5(choose chapter or problem)
The graph of a function \(f\) is shown. Let \(g\) be the function that represents the area under the graph of \(f\) between \(0\) and \(x\).
(a) Use geometry to find a formula for \(g(x)\).
(b) Verify that \(g\) is an antiderivative of \(f\) and explain how this confirms Part 1 of the Fundamental Theorem of Calculus for the function \(f\).
Equation Transcription:
Text Transcription:
f
g
f
0
x
g(x)
g
f
f
Questions & Answers
QUESTION:
The graph of a function \(f\) is shown. Let \(g\) be the function that represents the area under the graph of \(f\) between \(0\) and \(x\).
(a) Use geometry to find a formula for \(g(x)\).
(b) Verify that \(g\) is an antiderivative of \(f\) and explain how this confirms Part 1 of the Fundamental Theorem of Calculus for the function \(f\).
Equation Transcription:
Text Transcription:
f
g
f
0
x
g(x)
g
f
f
ANSWER:
Step 1 of 3
(a) The area under the graph of 
