8
QuizMultiple Choice

Modeling with Functions — Quiz

Question 8 • Advanced Financial Algebra

What is the equation for the vertical asymptote of the function y=(x−6)/(x+7) ?

Answer
A
y is equal to negative 7
B
y is equal to 6
C
x is equal to 6
D
x is equal to negative 7

Explanation

A rational function has a vertical asymptote where its denominator is zero, as long as the numerator is not also zero there. Set x + 7 = 0 to get x = −7; the numerator at x = −7 is −13, so it does not cancel. The equation of the vertical asymptote is x = −7, choice D.

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