Suppose that f(x) = (x+4)(x-3)². (If an answer does not exist, enter DNE.) (a) Find all critical values of f(x). (Enter your answers as a comma-separated list.) x = 3, - 53 (b) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.) - 3 (c) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notation.) (3,∞) (d) Find the x-value(s) of all local maxima of f(x). (Enter your answers as a comisa-separated list.) x = 3 (e) Find the x-value(s) of all local minima of f(x). (Enter your answers as a comma-separated list.) x = 5 2030 (f) Find all partition numbers of f'(x). (Enter your answers as a comma-separated list.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Suppose that f(x) = (x+4)(x-3)². (If an answer does not exist, enter DNE.)
(a) Find all critical values of f(x). (Enter your answers as a comma-separated list.)
5
x = 3,
3
(b) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.)
∞.-
5
3'
X
(c) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notation.)
(3,∞)
(d) Find the x-value(s) of all local maxima of f(x). (Enter your answers as a comisa-separated list.)
x = 3
(e) Find the x-value(s) of all local minima of f(x). (Enter your answers as a comma-separated list.)
X =
5030
X
(f) Find all partition numbers of f'(x). (Enter your answers as a comma-separated list.)
rain
Q Search
LOL
Transcribed Image Text:Suppose that f(x) = (x+4)(x-3)². (If an answer does not exist, enter DNE.) (a) Find all critical values of f(x). (Enter your answers as a comma-separated list.) 5 x = 3, 3 (b) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.) ∞.- 5 3' X (c) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notation.) (3,∞) (d) Find the x-value(s) of all local maxima of f(x). (Enter your answers as a comisa-separated list.) x = 3 (e) Find the x-value(s) of all local minima of f(x). (Enter your answers as a comma-separated list.) X = 5030 X (f) Find all partition numbers of f'(x). (Enter your answers as a comma-separated list.) rain Q Search LOL
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