Use the given domain to find the range of function:
f(x)=−2x2+7, D={2, −3, 0}
The range is -1,-11,7
To find the range of a function, we need to determine the set of all possible output values, or the y-values, of the function.
Given the function f(x) = -2x^2 + 7 and the domain D = {2, -3, 0}, we can substitute the given values of the domain into the function to get the corresponding y-values.
1. For x = 2:
f(2) = -2(2)^2 + 7
= -2(4) + 7
= -8 + 7
= -1
2. For x = -3:
f(-3) = -2(-3)^2 + 7
= -2(9) + 7
= -18 + 7
= -11
3. For x = 0:
f(0) = -2(0)^2 + 7
= -2(0) + 7
= 0 + 7
= 7
So, the range of the function f(x) = -2x^2 + 7, for the given domain D = {2, -3, 0}, is { -11, -1, 7 }. These are the possible output or y-values of the function when x takes on the given values.
Hey Helen ,
The range is 23, 43, and 7. You have to substitute the domain values for x to get these answers.
Your welcome,
Piper