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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
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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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
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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