4. Find all horizontal and vertical asymptotes of the graph of f. 5. Determine the intervals where f is increasing and where f is decreasing. 6. Find the relative extrema of f. 7 Determine the concavity of the granh ofE
4. Find all horizontal and vertical asymptotes of the graph of f. 5. Determine the intervals where f is increasing and where f is decreasing. 6. Find the relative extrema of f. 7 Determine the concavity of the granh ofE
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Step 5 only please
Transcribed Image Text:Consider the following.
A Guide to Curve Sketching
1. Determine the domain of f.
2. Find the x- and y-intercepts of f.t
3. Determine the behavior of f for large absolute values of x.
4. Find all horizontal and vertical asymptotes of the graph of f.
5. Determine the intervals where f is increasing and where f is decreasing.
6. Find the relative extrema of f.
7. Determine the concavity of the graph of f.
8. Find the inflection points of f.
9. Plot a few additional points to help further identify the shape of the graph of f and sketch the graph.
Use the curve-sketching guide above to sketch the graph of the function.
f(x) = x -
y
y
y
y
20
20
20
20
10
10
10
10
- 10
10
X
-10
-5
10
-10
-5
10
-10
10
-10
- 10
-10
- 10
- 20
-20
- 20
- 20
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