Question

the graph of a function ( f ) is shown below.

a at what value(s) of ( x ) do there appear to be vertical asymptotes? enter your answer as a comma - separated list

( x = )

b when ( x = - 2 ) is ( f(x) ) positive or negative?

c when ( x = 0 ) is ( f(x) ) positive or negative?

d when ( x = 1.5 ) is ( f(x) ) positive or negative?

e when ( x = 3.5 ) is ( f(x) ) positive or negative?

Explanation:

Step1: Identify vertical asymptote

Vertical asymptote is a vertical line \(x = a\) where the function approaches \(\pm\infty\).
From the graph, when \(x = 1\), the function approaches \(\pm\infty\).

Answer:

\(x = 1\)