4. Find all horizontal and vertical asymptotes of the graph of f. 5. Determine the intervals where fis increasing and where fis decreasing.
4. Find all horizontal and vertical asymptotes of the graph of f. 5. Determine the intervals where fis increasing and where fis decreasing.
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 4 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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