Given:
[tex]f(x)=2x^2-7[/tex]
with domain x={-4,-2,0,3}
Find: the range of the function for the given domain.
Explanation:
[tex]\begin{gathered} f(x)=2x^2-7 \\ f(-4)=2(-4)^2-7 \\ =32-7 \\ =25 \\ f(-2)=2(-2)^2-7 \\ =8-7 \\ =1 \\ f(0)=2(0)-7 \\ =-7 \\ f(3)=2(9)-7 \\ =11 \end{gathered}[/tex]
so the range of function for the given domain is {25,1,-7,11}.
Final answer: the required answer will be {25,1,-7,11}.
