Given function f(x) = 144 x² + 12 a. Find f'(x) and f"(x) b. Determine the following properties of the graph of f. Domain x and y intercepts • Asymptotes (using limit definition) Critical points C. Create a table following the format below and use it to sketch the graph of f. Intervals f(x) f'(x) f"(x) Conclusion

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A.
Given function
●
●
f(x)
a. Find f'(x) and f'(x)
b. Determine the following properties of the graph of f.
Domain
x and y intercepts
Asymptotes (using limit definition)
Critical points
C. Create a table following the format below and use it to sketch the graph of f.
Intervals
f(x)
f'(x)
ƒ"(x)
●
=
144
x² + 12
Conclusion
Transcribed Image Text:A. Given function ● ● f(x) a. Find f'(x) and f'(x) b. Determine the following properties of the graph of f. Domain x and y intercepts Asymptotes (using limit definition) Critical points C. Create a table following the format below and use it to sketch the graph of f. Intervals f(x) f'(x) ƒ"(x) ● = 144 x² + 12 Conclusion
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