The graph of a rational function, f, is shown in the figure. Use the graph to answer the question.
-Find all vertical asymptotes of the graph.
A) x = 4, x = -4
B) x = -6
C) y = 4, y = -4
D) y = -6

Question

The graph of a rational function, f, is shown in the figure. Use the graph to answer the question. 
-Find all vertical asymptotes of the graph.
A) x = 4, x = -4 
B) x = -6 
C) y = 4, y = -4 
D) y = -6

Quizplus · Accepted Answer

Vertical asymptotes occur where the function is undefined and typically result from division by zero in the function's formula. They are always of the form x = a, where "a" is a constant, indicating that the asymptotes are vertical lines. Options C and D incorrectly describe horizontal lines (y = constant), which are not vertical asymptotes.

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