Answer
At $x = 3$, there is a removable discontinuity.
At $x=5$, there is a jump discontinuity.
Work Step by Step
At $x = 3$, there is a discontinuity that can be made continuous if $f(3) = -1$. This is a removable discontinuity.
At $x=5$, the graph jumps from one place to another and continues on. This is a jump discontinuity.
