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Answer:
[tex]h(0) = 10[/tex]
[tex]h(4) = NaN[/tex] (Not a number)
Step-by-step explanation:
According to the statement, we get the following piecewise function:
[tex]h(x) = \left\{ \begin{array}{ccc}3\cdot x -4,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x < 0\\2\cdot x^{2}-3\cdot x + 10,\,\,\,\,\, 0\le x < 4\\2^{x}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, x\ge 5\end{array}[/tex]
The value of the function when [tex]x = 0[/tex] is:
[tex]h(0) = 2\cdot (0)^{3}-3\cdot (0) +10[/tex]
[tex]h(0) = 10[/tex]
The value of the function when [tex]x = 4[/tex] is undefined, since 4 is out of any of the intervals covered by [tex]h(x)[/tex].
[tex]h(4) = NaN[/tex] (Not a number)