Provide an appropriate response.
-Explain the behavior of the graph of $f ( x )$ as it approaches its vertical asymptote. $f ( x ) = \frac { 1 } { x - 9 }$
A) Approaches $- \infty$ from the left, approaches $\infty$ from the right
B) Approaches $\infty$ from the left, approaches $- \infty$ from the right
C) Approaches $\infty$ from the left and the right
D) Approaches $- \infty$ from the left and the right

Question

Quizplus · Accepted Answer

As $x$ approaches 9 from the left (values less than 9), $f(x)$ becomes more negative, indicating a vertical asymptote at $x = 9$ where the graph approaches $-\infty$. As $x$ approaches 9 from the right (values greater than 9), $f(x)$ becomes more positive, indicating the graph approaches $\infty$.

Provide an Appropriate Response f(x)f ( x )f(x) As It Approaches Its Vertical Asymptote

Provide an Appropriate Response $f ( x )$ As It Approaches Its Vertical Asymptote