Find the end behavior

Question

Suppose that we have a function of r(x) = [(x²- x)(x + 6)] / [(x - 1)(x + 7)(x - 8)].

What terms in r(x) determine the end-behavior? Describe the end-behavior of r(x) using limits.

Answer 1

If you divide the numerator and denominator by x, you will see that the fraction approaches 1.as

x approaches either + or - infinity.