### Home > PC3 > Chapter 11 > Lesson 11.1.4 > Problem11-78

11-78.

Graph $f(x) =\frac { x ^ { 3 } - 2 x ^ { 2 } - 9 x + 18 } { x ^ { 2 } - 3 x + 2 }$.

1. Is the function even, odd, or neither?

Does$f(x) = −f(x)$?
Does $−f(x) = f(−x)$?

2. Completely describe the function.

Factor both the numerator and denominator then identify any Giant Ones, these are where the holes are.
Then determine any asymptotes.

Since the degree of the polynomial in the numerator is greater than the degree of the polynomial in the denominator, use long division to identify the slant asymptote.