Consider the function fux)= x² - 4 ーa a) State the domain of the finition b) thad X and intercepts itany. O State the Tater vals uhere fis increasing IdeGreaing. ) state the intervals unere f is wrcave pldam 0) State the honzontal and vertical asymptatas (using limits)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
Question
Consider the function \( f(x) = \frac{x^2 - 4}{x^2 - 9} \).

a) State the domain of the function.

b) Find the x and y intercepts, if any.

c) State the intervals where \( f \) is increasing (decreasing).

d) State the intervals where \( f \) is concave up (down).

e) State the horizontal and vertical asymptotes, if any (using limits).
Transcribed Image Text:Consider the function \( f(x) = \frac{x^2 - 4}{x^2 - 9} \). a) State the domain of the function. b) Find the x and y intercepts, if any. c) State the intervals where \( f \) is increasing (decreasing). d) State the intervals where \( f \) is concave up (down). e) State the horizontal and vertical asymptotes, if any (using limits).
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