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Thptote(s). Simplify the function by factoring the denominator. X + 8 x + 8 f(x) x2 – 64 (x + 8) Simplify by canceling common fåctors. Remember that although factors can be çanceled, f is still undefined where those canceled factors made the denòminator zero. Indicate that in the provided blank. f(x) = Since f(x), after simplifying to remove the common factors, is a rational function and can be written f(x) = the graph of f has vertical asymptotes at the zeros of D(x). Given this, what is the equation of D(x)' the vertical asymptote? (If an answer does not exist, enter DNE.) (Although the domain excludes two values of x, there is only one vertical asymptote. This is because the second linear factor of the denominator was a common factor with the numerator of f(x). The graph of f has a hole at the zero of the common factor.)

Thptote(s). Simplify the function by factoring the denominator. X + 8 x + 8 f(x) x2 – 64 (x + 8) Simplify by canceling common fåctors. Remember that although factors can be çanceled, f is still undefined where those canceled factors made the denòminator zero. Indicate that in the provided blank. f(x) = Since f(x), after simplifying to remove the common factors, is a rational function and can be written f(x) = the graph of f has vertical asymptotes at the zeros of D(x). Given this, what is the equation of D(x)' the vertical asymptote? (If an answer does not exist, enter DNE.) (Although the domain excludes two values of x, there is only one vertical asymptote. This is because the second linear factor of the denominator was a common factor with the numerator of f(x). The graph of f has a hole at the zero of the common factor.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
Problem 14E
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asymptote(s). Simplify the function by factoring the denominator. x + 8 x + 8 f(x) = x² – 64 (x + 8) Simplify by canceling common fåctors. Remember that although factors can be çanceled, fis still undefined where those canceled factors made the denominator zero. Indicate that in the provided blank. f(x) : Since f(x), after simplifying to remove the common factors, is a rational function and can be written N(x) f(x) = D(x)' the graph of f has vertical asymptotes at the zeros of D(x). Given this, what is the equation of the vertical asymptote? (If an answer does not exist, enter DNE.) (Although the domain excludes two values of x, there is only one vertical asymptote. This is because the second linear factor of the denominator was a common factor with the numerator of f(x). The graph of f has a hole at the zero of the common factor.) Submit Skip (you cannot come back)
Transcribed Image Text:asymptote(s). Simplify the function by factoring the denominator. x + 8 x + 8 f(x) = x² – 64 (x + 8) Simplify by canceling common fåctors. Remember that although factors can be çanceled, fis still undefined where those canceled factors made the denominator zero. Indicate that in the provided blank. f(x) : Since f(x), after simplifying to remove the common factors, is a rational function and can be written N(x) f(x) = D(x)' the graph of f has vertical asymptotes at the zeros of D(x). Given this, what is the equation of the vertical asymptote? (If an answer does not exist, enter DNE.) (Although the domain excludes two values of x, there is only one vertical asymptote. This is because the second linear factor of the denominator was a common factor with the numerator of f(x). The graph of f has a hole at the zero of the common factor.) Submit Skip (you cannot come back)
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