Chapter 2, Problem 1E

The graph of f is given.

(a) Find each limit, or explain why it does not exist.

(i) $\underset{x\to 2^{+}}{\lim }f(x)$

(ii) $\underset{x\to -3^{+}}{\lim }f(x)$

(iii) $\underset{x\to -3}{\lim }f(x)$

(iv) $\underset{x\to 4}{\lim }f(x)$

(v) $\underset{x\to 0}{\lim }f(x)$

(vi) $\underset{x\to 2^{-}}{\lim }f(x)$

(vii) $\underset{x\to \infty }{\lim }f(x)$

(viii) $\underset{x\to -\infty }{\lim }f(x)$

(b) State the equation of the horizontal asymptotes.

(c) State the equations of the vertical asymptotes.

(d) At what numbers is f discontinuous? Explain.