Question

Using a table, find the range of the function for the given domain

Answer 1

Given:

`f(x)=2x^2-7`

with domain x={-4,-2,0,3}

Find: the range of the function for the given domain.

Step-by-step explanation:

`\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}`

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}.