Question: Consider the rational function \[f(x)=\frac{{{x}^{2}}-1}{{{x}^{3}}-7x+6}\]

a. Find the domain of \[f(x)\]. (2 points)

b. Find the x- and y-intercepts of \[f(x)\]. (2 pts.)

c. Find the vertical and horizontal asymptotes of \[f(x)\]. (2 pts.)

d. Sketch the graph of \[f(x)\]. (2 pts.)