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3. Sketch a graph for a rational function with the properties as given. Graph Properties A vertical asymptote : x 3 • A horizontal asymptote y 2 • Decreasing function • Hole at x = -2 A hole at x = 4 • Increasing when x <4 • Decreasing when x> 4 Horizontal asymptote y= -2 An oblique asymptote y = x -1 Vertical asymptote x = 3

3. Sketch a graph for a rational function with the properties as given. Graph Properties A vertical asymptote : x 3 • A horizontal asymptote y 2 • Decreasing function • Hole at x = -2 A hole at x = 4 • Increasing when x <4 • Decreasing when x> 4 Horizontal asymptote y= -2 An oblique asymptote y = x -1 Vertical asymptote x = 3

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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3. Sketch a graph for a rational function with the properties as given. Graph Properties A vertical asymptote : x = 3 A horizontal asymptote y 2 Decreasing function Hole at x = -2 A hole at x = 4 • Increasing when x <4 • Decreasing when x > 4 • Horizontal asymptote y= -2 An oblique asymptote y = x -1 Vertical asymptote x= 3
Transcribed Image Text:3. Sketch a graph for a rational function with the properties as given. Graph Properties A vertical asymptote : x = 3 A horizontal asymptote y 2 Decreasing function Hole at x = -2 A hole at x = 4 • Increasing when x <4 • Decreasing when x > 4 • Horizontal asymptote y= -2 An oblique asymptote y = x -1 Vertical asymptote x= 3
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