in the function f(x)=x^2 has the domain of {-2,4,8,9} what is the range
Question
Answer:
For the function f(x) = x^2 range will be { 4 , 16 , 68 , 81 }Solution: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 }
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10 months ago
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