Question

determine the behavior as x approaches - infinity & x approaches infinity for : f(x)= 1/2x^3 + 1/4x^2 - 1/8x

Answer 1

Basically they want

\[\lim_{x \rightarrow -\infty} f(x) \]

and

\[\lim_{x \rightarrow +\infty}\]

in calculus terms

so first thing I would do is graph the function

Answer 2

and you should know most cubic functions look like this