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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

For The Following Function Find The Value Of A F2 And B F2 If Possibley X25if X0 X33if Xgt0 class=

Answer :

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

Since x<0, then:

[tex]\begin{gathered} f(-2)=(-2)^2-5 \\ f(-2)=4-5 \\ f(-2)=-1 \end{gathered}[/tex][tex]f(2)[/tex]

Since x>0, then:

[tex]\begin{gathered} f(2)=(2)^3+3 \\ f(2)=8+3 \\ f(2)=11 \end{gathered}[/tex]

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