The function f(x) is defined by f(x)=x2+ax+b; 0≤x<23x+2 ; 2≤x≤42ax+5b; 4≤x≤8 continuous on [0, 8], find the values of a and b.

The function f(x) is defined by $f (x) = \{\begin{matrix} x^{2} + a x + b; 0 \leq x < 2 \\ 3 x + 2; 2 \leq x \leq 4 \\ 2 a x + 5 b; 4 \leq x \leq 8 \end{matrix}$ continuous on [0, 8], find the values of a and b.

Match the items on the right to the items on the left.