Which of the following functions will produce the graph shown below?

ANSWER

The answer is B.

EXPLANATION

The graph represents a rational function.

This rational function has a hole at x=1 and a vertical asymptote at x=-3.

This implies that the denominator of the rational function in factored form is

When we expand this, we get:

This tells us that the answer must be option B.

This graph also has a horizontal asymptote at y=1.

The numerator must therefore have leading term that is quadratic with the coefficient being unity or 1.

Therefore the function is actually

except a rational number. : )

equal to

step-by-step explanation: