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3. Sketch a possible graph of a rational function, y = fAx), that has all the following properties (There is more than one possible way to graph this) ·Domain of f (-0,-2) U (-2, 1)U(1,00) ·A–0. 5) = (2) = 0 ·fx) has a horizontal asymptote at y = 1 · Ax) has vertical asymptotes at x = -2 and x = 1 4.0 y 3.5 3.0+ 2.5+ 2.0+ 1.5+ 1.0+ 0.5+ -4.0 -3.5 -3.0 -2.5 -2.0 -1.5 -1.0 -0.5 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 -0.5 -1.0+ -1.5- -2.0 is

3. Sketch a possible graph of a rational function, y = fAx), that has all the following properties (There is more than one possible way to graph this) ·Domain of f (-0,-2) U (-2, 1)U(1,00) ·A–0. 5) = (2) = 0 ·fx) has a horizontal asymptote at y = 1 · Ax) has vertical asymptotes at x = -2 and x = 1 4.0 y 3.5 3.0+ 2.5+ 2.0+ 1.5+ 1.0+ 0.5+ -4.0 -3.5 -3.0 -2.5 -2.0 -1.5 -1.0 -0.5 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 -0.5 -1.0+ -1.5- -2.0 is

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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3. Sketch a possible graph of a rational function, y = f(x), that has all the following properties (There is more than one possible way to graph this) • Domain of f = (-0,-2) U (-2, 1) U (1, 0) • f-0.5) = f(2) = 0 • fx) has a horizontal asymptote at y = 1 • fx) has vertical asymptotes at x = -2 and x 1 4.0 T 3.5 3.0+ 2.5 2.0 1.5 1.0- 0.5 0.5 1.0 1.5 2.0 2,5 3.0 3.5 4.0 -40 -3.0 -2.5 -2.0 -1.5 -1.0 -0.5 -05- -1.0 -1.5- -2.0 -2.5 + -3.0- -3.5- -4.0 • Find a possible equation for f(x)? (May give answer in factored form)
Transcribed Image Text:3. Sketch a possible graph of a rational function, y = f(x), that has all the following properties (There is more than one possible way to graph this) • Domain of f = (-0,-2) U (-2, 1) U (1, 0) • f-0.5) = f(2) = 0 • fx) has a horizontal asymptote at y = 1 • fx) has vertical asymptotes at x = -2 and x 1 4.0 T 3.5 3.0+ 2.5 2.0 1.5 1.0- 0.5 0.5 1.0 1.5 2.0 2,5 3.0 3.5 4.0 -40 -3.0 -2.5 -2.0 -1.5 -1.0 -0.5 -05- -1.0 -1.5- -2.0 -2.5 + -3.0- -3.5- -4.0 • Find a possible equation for f(x)? (May give answer in factored form)
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