Let f(x)={7x1ifx58x+bifx>5\displaystyle {f{{\left({x}\right)}}}={\left\lbrace\begin{array}{ccc} {7}{x}-{1}&\text{if}&{x}\leq{5}\\-{8}{x}+{b}&\text{if}&{x}>{5}\end{array}\right.}
If f(x)\displaystyle {f{{\left({x}\right)}}} is a function which is continuous everywhere, then we must have
b=\displaystyle {b}=  
Now for fun, try to graph f(x)\displaystyle {f{{\left({x}\right)}}}.