PrecalculusHardFunctions and Their Graphs

Functions and Their Graphs · Hard problem

Find the constants $a$ and $b$ that make $g$ continuous for all real $x$ :

g(x)=\begin{cases} x+2, & x\le 1 \\ ax+b, & 1<x<3 \\ x^2, & x\ge 3.\end{cases}