In order to find the values of h(0) and h(4), we need to find which interval of the piecewise function should be used.
For x = 0, the correct part is the second one, and for x = 4 the correct part is the third one.
So we have:
[tex]\begin{gathered} x=0:\\ \\ h(x)=2x^2-3x+10\\ \\ h(0)=0-0+10\\ \\ h(0)=10\\ \\ \\ \\ x=4:\\ \\ h(x)=2^x\\ \\ h(4)=2^4\\ \\ h(4)=16 \end{gathered}[/tex]
