Find the range of the function h(x)= cases x^ 2 -4,& -3 x 0 +1,& 0<x 2 6-x,& 2<x<5 cases

MATHEMATICS · Subjective · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

Find the range of the function

h(x)=\begin{cases}x^{2}-4,& -3\le x\le 0\\x+1,& 0<x\le 2\\6-x,& 2<x<5\end{cases}