Consider f' (x) = 12 – 4x? be the derivative of a continuous function f. Fill in the blanks below. (a) Increasing / Decreasing: f is increasing for x E Σ f is decreasing for x E Σ (b) Critical Point Classification: f has local maximums at x = Σ f has local minimums at x = Σ f has critical points that are neither local mins nor maxes at x = Σ (c) Concavity: f is concave up for x E Σ f is concave down for x E Σ (d) Inflection Points: f has inflection points at x = Σ Note: the answers to the above questions can be a value, a list of values, an interval, a union of intervals, or "NONE" if no values exist.

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
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Consider f' (x) = 12 – 4x? be the derivative of a continuous function f. Fill in the blanks below.
(a) Increasing / Decreasing:
f is increasing for x E
Σ
f is decreasing for x E
Σ
(b) Critical Point Classification:
f has local maximums at x =
Σ
f has local minimums at x =
Σ
f has critical points that are neither local mins nor maxes at x =
Σ
(c) Concavity:
f is concave up for x E
Σ
f is concave down for x E
Σ
(d) Inflection Points:
f has inflection points at x =
Σ
Note: the answers to the above questions can be a value, a list of values, an interval, a union of intervals, or "NONE" if no values exist.
Transcribed Image Text:Consider f' (x) = 12 – 4x? be the derivative of a continuous function f. Fill in the blanks below. (a) Increasing / Decreasing: f is increasing for x E Σ f is decreasing for x E Σ (b) Critical Point Classification: f has local maximums at x = Σ f has local minimums at x = Σ f has critical points that are neither local mins nor maxes at x = Σ (c) Concavity: f is concave up for x E Σ f is concave down for x E Σ (d) Inflection Points: f has inflection points at x = Σ Note: the answers to the above questions can be a value, a list of values, an interval, a union of intervals, or "NONE" if no values exist.
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