The x-intercept: Where the function is zero, or the numerator is zero and the denominator is non-zero: x³ = 0, or x = 0. Since the function is not defined at x = 0, there is no x-intercept.

The y-intercept: Where x = 0: Since the function is not defined at x = 0, there is no y-intercept.

Vertical asymptote: where the denominator is zero: x² - 9 = 0, or x = 3, x = -3.

Horizontal asymptote: The limit of the function at infinity:

We can use the Limit at Infinity for Rational Functions:

Draw your graph, and then check it.