Accurately graph each rational function in Exercises 3, 4, and 5 by showing all 6 steps from the procedure for graphing rational functions as shown below. Graphing Rational FunctionsLet , be a rational function written in lowest terms. To sketch its graph, Vertical Asymptote(s). Find the equation of the vertical asymptote(s). Sketch any vertical asymptotes as dashed lines.Horizontal or Oblique Asymptote. Find the equation of any horizontal or oblique asymptote. Sketch it as a dashed line.x-intercept(s). Solve f(x) = 0. Give the x-intercept(s) (as ordered pair) and plot the x-intercept(s), if any. y-intercept. Evaluate f(0). Give the y-intercept (as ordered pair) and plot this point. Additional points. Find and plot a few additional points by choosing an x-value in each interval of the domain as determined by the vertical asymptotes and x-intercepts where you feel you have little or no information about the graph.Graph. Use the asymptotes, intercepts, and additional points found in the previous steps to accurately sketch the graph of the function. 1. f(x) = x-2/x+12. f(x) = x+2/x^2+2x-153. f(x) = x^2-x-2/x+2

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Answered: graph each rational function in…

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

Let , be a rational function written in lowest terms. To sketch its graph,

Vertical Asymptote(s). Find the equation of the vertical asymptote(s). Sketch any vertical asymptotes as dashed lines.
Horizontal or Oblique Asymptote. Find the equation of any horizontal or oblique asymptote. Sketch it as a dashed line.
x-intercept(s). Solve f(x) = 0. Give the x-intercept(s) (as ordered pair) and plot the x-intercept(s), if any.
y-intercept. Evaluate f(0). Give the y-intercept (as ordered pair) and plot this point.
Additional points. Find and plot a few additional points by choosing an x-value in each interval of the domain as determined by the vertical asymptotes and
x-intercepts where you feel you have little or no information about the graph.
Graph. Use the asymptotes, intercepts, and additional points found in the previous steps to accurately sketch the graph of the function.