2. Let f(x) = 3x55x³ + 1. (a) Find the intervals on which the graph of f is increasing, decreasing, concave up, and concave down. (b) Find all extreme points and all inflection points for the graph of f. (c) Use your results from (a) and (b) to sketch the graph.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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2. Let f(x) = 3x55x³ + 1.
(a) Find the intervals on which the graph of f is increasing, decreasing, concave up, and
concave down.
(b) Find all extreme points and all inflection points for the graph of f.
(c) Use your results from (a) and (b) to sketch the graph.
Transcribed Image Text:2. Let f(x) = 3x55x³ + 1. (a) Find the intervals on which the graph of f is increasing, decreasing, concave up, and concave down. (b) Find all extreme points and all inflection points for the graph of f. (c) Use your results from (a) and (b) to sketch the graph.
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