Science:Math Exam Resources/Courses/MATH110/December 2017/Question 07 (a)/Statement

(a) Sketch the graph of the function

$${\begin{aligned}h(x)={\begin{cases}x^{2}-1&{\text{ if }}x\leq -1\\x+1&{\text{ if }}-1<x<0\\e^{x}&{\text{ if }}x\geq 0.\end{cases}}\end{aligned}}$$

Make sure you identify all $x$- and $y$-intercepts (if they exist) by writing down the coordinates of those points on your graph.