For the function f(x) = x^2 range will be { 4 , 16 , 68 , 81 }
Given that:
[tex]\text {Function is } f(x)=x^{2}[/tex]
Domain of the function is {-2, 4, 8, 9}
Need to determine range of the function.
Domain of the function is possible input of the function that is x and range of the function is possible output of the function that is f(x)
As there are only four input values for x that are -2,4,8,9 we can determine the range by calculating value of f(x) for each of the x
[tex]\begin{array}{l}{\text {At } x=-2:} \\\\ {f(x)=f(-2)=-2^{2}=4}\end{array}[/tex]
[tex]\begin{array}{l}{\text {At } x=4:} \\\\ {f(x)=f(4)=4^{2}=16}\end{array}[/tex]
[tex]\begin{array}{l}{\text {At } x=8:} \\\\ {f(x)=f(8)=8^{2}=64} \\\\ {\text {At } x=9:} \\\\ {f(x)=f(9)=9^{2}=81}\end{array}[/tex]
Thus the range of given function is { 4 , 16 , 68 , 81 }
