Question

Which of the following rational functions is graphed below?

Answer 1

A function is said to be rational , if function possess variable in numerator as well as denominator or either in numerator or  in Denominator because coefficient of variable either in numerator or denominator can be zero.

Now coming to function described in the graph

It has a vertical Asymptote given by :

x=2.

So, the curve will contain (x-2) in the denominator.

We don't need to graph different function on desmos.

By looking at options we can say which function is represented in the graph.

Option (B), F(x) = $\frac{1}{x-2}$ is appropriate choice.