Question

Do you have time to help me in this problem?

Answer 1

Given the information of the table, we identify:

For x = 0:

$\begin{gathered} f(0)=0 \\ h(0)=2 \\ \Rightarrow h(0)=f(0)+2 \end{gathered}$

For x = 1:

$\begin{gathered} f(1)=0.5 \\ h(1)=2.5 \\ \Rightarrow h(1)=f(1)+2 \end{gathered}$

For x = 2:

$\begin{gathered} f(2)=2 \\ h(2)=4 \\ \Rightarrow h(2)=f(2)+2 \end{gathered}$

And so on. Using this information, we conclude that:

$h(x)=f(x)+2$