f(x) = 6(x-6)2/3 +8. (A) Find all critical values and list them below. Note: If there are no critical values, enter 'NONE'. (6,8) (B) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF' for ∞, '-INF' for -∞, and use 'U' for the union symbol. Increasing: (6,inf) (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (-inf.6) (D) List the values of all local maxima of f. If there are no local maxima, enter 'NONE'. x values of local maximums = NE'. (E) List the values of all local minima of f. If there are no local minima, enter a values of local minimums =

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
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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Let
f(x) = 6(x − 6)²/³ +8.
(A) Find all critical values and list them below. Note: If there are no critical values, enter 'NONE'.
(6,8)
(B) Use interval notation to indicate where f(x) is increasing.
Note: Use 'INF' for ∞, '-INF' for -∞, and use 'U' for the union symbol.
Increasing: (6,inf)
(C) Use interval notation to indicate where f(x) is decreasing.
Decreasing: (-inf.6)
(D) List the values of all local maxima of f. If there are no local maxima, enter 'NONE'.
x values of local maximums =
(E) List the values of all local minima of f. If there are no local minima, enter 'NONE'.
values of local minimums =
Transcribed Image Text:Let f(x) = 6(x − 6)²/³ +8. (A) Find all critical values and list them below. Note: If there are no critical values, enter 'NONE'. (6,8) (B) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF' for ∞, '-INF' for -∞, and use 'U' for the union symbol. Increasing: (6,inf) (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (-inf.6) (D) List the values of all local maxima of f. If there are no local maxima, enter 'NONE'. x values of local maximums = (E) List the values of all local minima of f. If there are no local minima, enter 'NONE'. values of local minimums =
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