Given the graph of f', the derivative of f, locate all extrema of f. JUSTIFY. Minimum at x = because 21 Cross out and write NONE if none exist. Maximum at x = because 4

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter1: Functions
Section1.2: Functions Given By Tables
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1. Given the graph of f', the derivative of f, locate all extrema of f.
JUSTIFY.
Minimum at x =
because
2
2
Cross out and write
NONE if none exist.
Maximum at x =
because
4
The derivative of a function g is given. Find all relative max/min of g and justify.
g'(x) = (x – 2)e*
%3D
Transcribed Image Text:1. Given the graph of f', the derivative of f, locate all extrema of f. JUSTIFY. Minimum at x = because 2 2 Cross out and write NONE if none exist. Maximum at x = because 4 The derivative of a function g is given. Find all relative max/min of g and justify. g'(x) = (x – 2)e* %3D
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The first derivaltive of f is f'. f' is also indicates the slope of f. When f'>0, the graph of f is increasing. When f'<0, the graph of f is decreasing. When f'=0, then f is maximum or minimum.

Extrema are the points where the graph of the function changes from decreasing to increasing or increasing to decreasing.

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