Chapter 4, Problem 29RE

(a)

To determine

To determine: The domain of the function $f\left(x\right)=\frac{3x^3-2x^2-3x+2}{3x^2-x-4}$.

(b)

To determine

To determine: The intercepts of the function $f\left(x\right)=\frac{3x^3-2x^2-3x+2}{3x^2-x-4}$.

(c)

To determine

To calculate: The vertical or slant asymptote of the function $f\left(x\right)=\frac{3x^3-2x^2-3x+2}{3x^2-x-4}$.

(d)

To determine

To graph: All the additional points required to sketch the graph of the function $f\left(x\right)=\frac{3x^3-2x^2-3x+2}{3x^2-x-4}$.