Sketch the graph of the function $f$ to determine the type of discontinuity at each $x$-value. $$f(x) = \begin{cases} x^2+2, &\text{ if } x < -3 \\ -5, &\text{ if } x = -3 \\ -5 x+ 2, &\text{ if } -3 < x \le 0 \\ \displaystyle \frac{-4 x}{(x-3)^2}, &\text{ if } 0 < x < 3 \\ \displaystyle \frac{1}{x^2+1}, &\text{ if } 3 \le x \\ \end{cases}$$

choose one removable jump infinite 1. What type of discontinuity does $f$ have at $x=-3$?

choose one removable jump infinite 2. What type of discontinuity does $f$ have at $x=0$?

choose one removable jump infinite 3. What type of discontinuity does $f$ have at $x=3$?