Question

For the following function, find the value of (a) f(−2) and (b) f(2), if possible.y= x2−5if x≤0 x3+3if x>0

Answer 1

`y=\begin{cases}x^2-5;_{\text{ }}if_{\text{ }}x\leq0 \\ x^3+3;_{\text{ }}if_{\text{ }}x>0\end{cases}`
`f(-2)`

Since x<0, then:

`\begin{gathered} f(-2)=(-2)^2-5 \\ f(-2)=4-5 \\ f(-2)=-1 \end{gathered}`
`f(2)`

Since x>0, then:

`\begin{gathered} f(2)=(2)^3+3 \\ f(2)=8+3 \\ f(2)=11 \end{gathered}`