Sketch the following function 2 f(x) =x³ + 15 - - Using the following steps: 1. Find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing. 2. Does f(x) have local maximum and local minimum points? 3. Find where the graph of f (x) is concave up and concave down. 4. Find the inflection points. 5. Based on the above points, sketch the f(x) by specifying some points on the graph, such as local maximum and local minimum points, point of inflection, and intercepts.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section: Chapter Questions
Problem 30RE: For the following exercises, use the graphs to determine the intervals on which the functions are...
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Sketch the following function
1
2
f(x) =x3
+
+ 15
- -
Using the following steps:
1. Find the intervals on which f(x) is increasing and the intervals on which f(x) is
decreasing.
2. Does f(x) have local maximum and local minimum points?
3. Find where the graph of f (x) is concave up and concave down.
4. Find the inflection points.
5. Based on the above points, sketch the f(x) by specifying some points on the graph, such as
local maximum and local minimum points, point of inflection, and intercepts.
Transcribed Image Text:Sketch the following function 1 2 f(x) =x3 + + 15 - - Using the following steps: 1. Find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing. 2. Does f(x) have local maximum and local minimum points? 3. Find where the graph of f (x) is concave up and concave down. 4. Find the inflection points. 5. Based on the above points, sketch the f(x) by specifying some points on the graph, such as local maximum and local minimum points, point of inflection, and intercepts.
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