The graph of a rational function, f, is shown in the figure. Use the graph to answer the question.
-How does the graph indicate that f(-4) does not exist?
A) There is a horizontal asymptote at x = -4 indicated by a dashed line.
B) There is a horizontal asymptote at y = -4 indicated by a dashed line.
C) There is a vertical asymptote at y = -4 indicated by a dashed line.
D) There is a vertical asymptote at x = -4 indicated by a dashed line.

Question

The graph of a rational function, f, is shown in the figure. Use the graph to answer the question. 
-How does the graph indicate that f(-4) does not exist?
A) There is a horizontal asymptote at x = -4 indicated by a dashed line. 
B) There is a horizontal asymptote at y = -4 indicated by a dashed line. 
C) There is a vertical asymptote at y = -4 indicated by a dashed line. 
D) There is a vertical asymptote at x = -4 indicated by a dashed line.

Quizplus · Accepted Answer

A vertical asymptote at x = -4 means the function approaches infinity or negative infinity as x approaches -4, indicating that f(-4) is undefined or does not exist.

The Graph of a Rational Function, F, Is Shown in the Figure