Find the critical point and the interval on which the given function is increasing or decreasing, and apply the First Derivative Test to the critical point. Let 4 f(x) = x2+3 Critical Point = Is f a maximum or minumum at the critical point? ? The interval on the left of the critical point is On this interval, f is ? 2: while f' is ? The interval on the right of the critical point is it 5 ° On this interval, f is ? while f' is ?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter1: Functions
Section1.2: Functions Given By Tables
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1. Local max/ Local max

2. Increasing / decreasing 

3. Positive / Negative

4. Increasing / decreasing 

5. Positive / Negative

Find the critical point and the interval on which the given function is increasing or
decreasing, and apply the First Derivative Test to the critical point. Let
f(x) = 3
4
x2+3
Critical Point =
Is f a maximum or minumum at the critical point? ?
The interval on the left of the critical point is
On this interval, f is ?
O while f' is ?
The interval on the right of the critical point is
On this interval, f is ?
O while f' is ? 5o.
Transcribed Image Text:Find the critical point and the interval on which the given function is increasing or decreasing, and apply the First Derivative Test to the critical point. Let f(x) = 3 4 x2+3 Critical Point = Is f a maximum or minumum at the critical point? ? The interval on the left of the critical point is On this interval, f is ? O while f' is ? The interval on the right of the critical point is On this interval, f is ? O while f' is ? 5o.
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