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7. Write the equation of a possible rational function given the following information: a) Vertical asymptotes at x = ±5 and x-intercepts at 4 and -7. b) A vertical asymptote at x = 4, discontinuous point at (5, 3), and x-intercept at 2. c) A horizontal asymptote at y = a vertical asymptote at x=3, a discontinuous point that has an x value of 1, and x-intercept at 2.

7. Write the equation of a possible rational function given the following information: a) Vertical asymptotes at x = ±5 and x-intercepts at 4 and -7. b) A vertical asymptote at x = 4, discontinuous point at (5, 3), and x-intercept at 2. c) A horizontal asymptote at y = a vertical asymptote at x=3, a discontinuous point that has an x value of 1, and x-intercept at 2.

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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7. Write the equation of a possible rational function given the following information: a) Vertical asymptotes at x = +5 and x-intercepts at 4 and -7. b) A vertical asymptote at x = 4, discontinuous point at (5, 3), and x-intercept at 2. c) A horizontal asymptote at y = a vertical asymptote at x=3, a discontinuous point that has an x value of 1, and x-intercept at 2.
Transcribed Image Text:7. Write the equation of a possible rational function given the following information: a) Vertical asymptotes at x = +5 and x-intercepts at 4 and -7. b) A vertical asymptote at x = 4, discontinuous point at (5, 3), and x-intercept at 2. c) A horizontal asymptote at y = a vertical asymptote at x=3, a discontinuous point that has an x value of 1, and x-intercept at 2.
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