Question

Which of the following rational functions is graphed below?

Answer 1

`A = (1)/((x-1)(x+1))`

Explanation:

Looking at the dashed lines in the graphic, these functions have two discontinuities, at x = -1 and at x = 1.

A discontinuity in a rational function is a point in which the denominator of the function is 0.

For these options, the denomiator is 0 at both x = -1 and x = 1 for only option A, so the answer is:

`A = (1)/((x-1)(x+1))`