3. Given a piecewise g(x) = {"-. (x² – 4, 8 - x, x<3 3 < x Find the relative extrema of the function and the values of x at which they occur. Also, determine the intervals on which the function is increasing and on which the function is decreasing. Sketch the graph.

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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3. Given a piecewise function
Sx? – 4,
g(x) ={ 8- x,
3 < x
Find the relative extrema of the function and the values of x at which they
occur. Also, determine the intervals on which the function is increasing and on which
the function is decreasing. Sketch the graph.
Transcribed Image Text:3. Given a piecewise function Sx? – 4, g(x) ={ 8- x, 3 < x Find the relative extrema of the function and the values of x at which they occur. Also, determine the intervals on which the function is increasing and on which the function is decreasing. Sketch the graph.
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