Question

Which of the following rational functions is graphed below?

Answer 1

A

Explanation:

from the graph you can tell that there is a vertical asymp. at -3.

In the anwers A is the only one with vertical asymp. at -3.

Answer 2

A f(x)=
`(x)/(x+3)`

Explanation:

To answer this question, to identify which rational function relates to that graph we must at first look for Rational Function in this form:

`P(x)=(Q(x))/(R(x))`

Where P(x)= Polynomial Quotient, Q(x)=Quotient, R(x)=Remainder. Q(x) and R(x) are Polynomial Functions.

So exclude B, then C, for they do not fit as Polynomial Functions.

Then rather than setting the graph, the second step would be looking for the vertical asymptote, given by the equation on the denominator. We must detach it from the original function then solve it.

x+3=0 ∴ x=-3