CPM Homework Help : PC Problem 5-93

Find values for $a$ and $b$ so that $f\left(x\right)$ will be continuous for all values of $x$ .

Hint:

At $x = 2$ , $2x + a = x^{2} − 2$ .

At $x = 3$ , $x^{2} − 2 = −x + b$ .