Question

Which of the following rational fractions is graphed below?

Help please!

Answer 1

`\textsf{A.} \quad f(x)=(1)/(x-4)`

Explanation:

An asymptote is a line that the curve gets infinitely close to, but never touches.

A vertical asymptote occurs when the denominator of a rational function is zero.

From inspection of the given graph, there is a vertical asymptote at
`x=4` .

Therefore, the denominator of the rational function must equal zero when
`x=4` .

Therefore, the only solution where the denominator is zero when
`x=4` is:

`\boxed{f(x)=(1)/(x-4)}`