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The information below about a rational function f was obtaine by following the steps of the graph-sketching strategy. The domain of f is (-∞, 2) U (2,00). The graph of f has only one x-intercept, namely 0, and onl one y-intercept, namely 0. ƒ is increasing on the intervals (-∞, -1) and (2, ∞), and decreasing on the interval (-1,2). f has a stationary point, which is a local maximum, at (−1 The graph of f has two asymptotes: x = = 2 and y = 0.

The information below about a rational function f was obtaine by following the steps of the graph-sketching strategy. The domain of f is (-∞, 2) U (2,00). The graph of f has only one x-intercept, namely 0, and onl one y-intercept, namely 0. ƒ is increasing on the intervals (-∞, -1) and (2, ∞), and decreasing on the interval (-1,2). f has a stationary point, which is a local maximum, at (−1 The graph of f has two asymptotes: x = = 2 and y = 0.

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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The information below about a rational function f was obtained by following the steps of the graph-sketching strategy. The domain of f is (-∞, 2) U (2,00). The graph of f has only one x-intercept, namely 0, and only one y-intercept, namely 0. • f is increasing on the intervals (-∞, -1) and (2, ∞), and decreasing on the interval (-1,2). f has a stationary point, which is a local maximum, at (-1,3). The graph of f has two asymptotes: x = 2 and y = 0. f is neither even nor odd. Sketch the graph of f.
Transcribed Image Text:The information below about a rational function f was obtained by following the steps of the graph-sketching strategy. The domain of f is (-∞, 2) U (2,00). The graph of f has only one x-intercept, namely 0, and only one y-intercept, namely 0. • f is increasing on the intervals (-∞, -1) and (2, ∞), and decreasing on the interval (-1,2). f has a stationary point, which is a local maximum, at (-1,3). The graph of f has two asymptotes: x = 2 and y = 0. f is neither even nor odd. Sketch the graph of f.
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