X+2 Consider the rational functionf(x)%3D. X-5 a. State the domain of f(x). b. State the equations of any vertical asymptotes, if any. c. State the equation of the horizontal asymptote, if one exists. Also, explain why you know.

Algebra and Trigonometry (6th Edition)
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,...
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I'm having a difficult time understanding the rational function.
x+2
3. Consider the rational function f(x)=
X-5
State the domain of f(x).
a.
b. State the equations of any vertical asymptotes, if any.
State the equation of the horizontal asymptote, if one exists. Also, explain why you
C.
know.
d. Determine the y-intercept and state it as an ordered pair.
e. Determine the x-intercept(s), if any. State them as ordered pairs.
f. Does f(x) cross its horizontal asymptote? If so, state the point of intersection as an
ordered pair.
g. Sketch the graph of f(x). Be sure to sketch the asymptotes and label them using their
equations.
Transcribed Image Text:x+2 3. Consider the rational function f(x)= X-5 State the domain of f(x). a. b. State the equations of any vertical asymptotes, if any. State the equation of the horizontal asymptote, if one exists. Also, explain why you C. know. d. Determine the y-intercept and state it as an ordered pair. e. Determine the x-intercept(s), if any. State them as ordered pairs. f. Does f(x) cross its horizontal asymptote? If so, state the point of intersection as an ordered pair. g. Sketch the graph of f(x). Be sure to sketch the asymptotes and label them using their equations.
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