Question

What is the range of the function f(x)= 22 + 4 when the domain is {-2, 0, 3}?

Answer 1

`f(x)=2^x+4`

Let's evaluate every value of the domain into the equation:

so:

`\begin{gathered} x=-2 \\ f(-2)=2^(-2)+4=(1)/(2^(^2))+4=(1)/(4)+4=(17)/(4)=4.25 \end{gathered}`
`\begin{gathered} x=0 \\ f(0)=2^0+4=1+4=5 \end{gathered}`
`\begin{gathered} x=3 \\ f(3)=2^3+4=8+4=12 \end{gathered}`

Therefore, the range of the function is:

`R\colon\mleft\lbrace4.25,5,12\mright\rbrace`