4. Let f(x) = x³ + 4x² + 15x + 1. (a) Find the intervals where f is increasing and decreasing. Identify the relative extrema. (b) Find the intervals where f is concave up and down and identify any inflection points. (c) Sketch a graph of f.
4. Let f(x) = x³ + 4x² + 15x + 1. (a) Find the intervals where f is increasing and decreasing. Identify the relative extrema. (b) Find the intervals where f is concave up and down and identify any inflection points. (c) Sketch a graph of f.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 2ECP
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Question
![4. Let f(x) = x³ + 4x² + 15x + 1.
(a) Find the intervals where ƒ is increasing and decreasing. Identify the relative
extrema.
(b) Find the intervals where f is concave up and down and identify any inflection
points.
(c) Sketch a graph of f.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F617a7678-1746-4eb9-98b7-8cce2858aea9%2Fe68b396d-a732-4ca4-8286-636bd471f4ee%2F0g2c7mp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Let f(x) = x³ + 4x² + 15x + 1.
(a) Find the intervals where ƒ is increasing and decreasing. Identify the relative
extrema.
(b) Find the intervals where f is concave up and down and identify any inflection
points.
(c) Sketch a graph of f.
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