Suppose that f(x) = xª – 4x³. (A) List all the critical values of f(x). Note: If there are no critical values, enter 'NONE'. (B) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF' for oo, '-INF' for -∞, and use 'U' for the union symbol. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing:

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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Suppose that f(x) = xª – 4x³.
(A) List all the critical values of f(x). Note: If there are no critical values, enter 'NONE'.
(B) Use interval notation to indicate where f(x) is increasing.
Note: Use 'INF' for oo, '-INF' for –∞, and use 'U' for the union symbol.
Increasing:
(C) Use interval notation to indicate where f(x) is decreasing.
Decreasing:
(D) List the values of all local maxima of f(x). If there are no local maxima, enter 'NONE'.
x values of local maximums =
(E) List the x values of all local minima of f(x). If there are no local minima, enter 'NONE'.
I values of local minimums =
(F) Use interval notation to indicate where f(x) is concave up.
Concave up:
(G) Use interval notation to indicate where f(x) is concave down.
Concave down:
Transcribed Image Text:Suppose that f(x) = xª – 4x³. (A) List all the critical values of f(x). Note: If there are no critical values, enter 'NONE'. (B) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF' for oo, '-INF' for –∞, and use 'U' for the union symbol. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) List the values of all local maxima of f(x). If there are no local maxima, enter 'NONE'. x values of local maximums = (E) List the x values of all local minima of f(x). If there are no local minima, enter 'NONE'. I values of local minimums = (F) Use interval notation to indicate where f(x) is concave up. Concave up: (G) Use interval notation to indicate where f(x) is concave down. Concave down:
(H) List the values of all the inflection points of f. If there are no inflection points, enter 'NONE'.
x values of inflection points =
(1) Use all of the preceding information to sketch a graph of f. When you're finished, enter a "1" in the box below
Transcribed Image Text:(H) List the values of all the inflection points of f. If there are no inflection points, enter 'NONE'. x values of inflection points = (1) Use all of the preceding information to sketch a graph of f. When you're finished, enter a "1" in the box below
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