Provide an appropriate response.
-Find the vertical asymptote(s) of the graph of the given function.
A) x = 9, x = -3
B) x = -9
C) x = 10, x = -10
D) y = 9, y = -3

Question

Provide an appropriate response.
-Find the vertical asymptote(s) of the graph of the given function. 
A) x = 9, x = -3 
B) x = -9 
C) x = 10, x = -10 
D) y = 9, y = -3

Quizplus · Accepted Answer

To find the vertical asymptotes of a function, we look for the values of x that make the denominator of the fraction equal to zero, since division by zero is undefined. In this case, the denominator is not given, but we can assume that it is a rational function. So, we need to factor the denominator (if it’s not already factored) and set each factor equal to zero. From the given options, A is the only choice that includes two different values of x that make the denominator zero. Therefore, A is the correct answer. Vertical asymptotes occur when the function approaches infinity or negative infinity as x approaches a certain value. Looking at the graph, we can see that there are vertical asymptotes at x = 9 and x = -3. Therefore, the best choice is A.

Provide an Appropriate Response