# Calculus: Other Calculus Problems – #28601

Question: Let $f(t)=\frac{12{{t}^{2}}-16t+12}{{{t}^{2}}+1}$

a. Graph f(t)

b. Find the domain and the range of f(t)

c. Find the horizontal and vertical asymptotes

d. Find $li{{m}_{t\to 0}}f(t)$

e. Find $li{{m}_{t\to \infty }}f(t)$