The input value x = a is in the domain of the function g'. Explain the meaning of g'(a). Write an expression that represents the approximate value of g(a + Ax) for some fixed Ax. Feel free to draw on the graph of g' to organize/represent your thinking. Write an expression that represents the approximate value of g(a + n'Ax) for some fixed Ax and some whole number n. Feel free to draw on the graph of g' to organize/represent your thinking.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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The following is a graph of the function g'.
g'(x)
X
a. The input value x = a is in the domain of the function g'. Explain the meaning of g'(a).
b. Write an expression that represents the approximate value of g(a + Ax) for some fixed Ax.
Feel free to draw on the graph of g' to organize/represent your thinking.
c. Write an expression that represents the approximate value of g(a + n Ax) for some fixed
Ax and some whole number n. Feel free to draw on the graph of g' to organize/represent
your thinking.
d. Write an expression that represents the approximate value of g(x) for a generic value x in
the domain of g.
e. How might you improve the accuracy of the approximation of the value of g(x) you
expressed in Part (d)? Write an expression that represents the exact value of g(x).
Transcribed Image Text:The following is a graph of the function g'. g'(x) X a. The input value x = a is in the domain of the function g'. Explain the meaning of g'(a). b. Write an expression that represents the approximate value of g(a + Ax) for some fixed Ax. Feel free to draw on the graph of g' to organize/represent your thinking. c. Write an expression that represents the approximate value of g(a + n Ax) for some fixed Ax and some whole number n. Feel free to draw on the graph of g' to organize/represent your thinking. d. Write an expression that represents the approximate value of g(x) for a generic value x in the domain of g. e. How might you improve the accuracy of the approximation of the value of g(x) you expressed in Part (d)? Write an expression that represents the exact value of g(x).
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d) Write an expression that represents the approximate value of g(x) for a generic value x in the domain of g.

e) How might we improve the accuracy of the approximation of the value of g(x) we expressed in Part (d)? Write an expression that represents the exact value of g(x).

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