Answer:
The range of the function is {-1 , -11 , 7}
Step-by-step explanation:
- The range is the resulting values of y we get after substituting all
the possible values of x
- The domain of the function is the values of x
- The range of the function is the values of y corresponding to the
values of x ⇒ [y = f(x)]
∵ f(x) = -2x² + 7
∵ The domain D = {2 , -3 , 0}
- We need to find the values of f(x) corresponding to x = 2 , x = -3
and x = 0
- Substitute the values of x in f(x)
∵ x = 2
∴ f(2) = - 2(2)² + 7
∴ f(2) = -2(4) + 7
∴ f(2) = -8 + 7
∴ f(2) = -1
∵ x = -3
∴ f(-3) = - 2(-3)² + 7
∴ f(-3) = -2(9) + 7
∴ f(-3) = -18 + 7
∴ f(-3) = -11
∵ x = 0
∴ f(0) = - 2(0)² + 7
∴ f(0) = -2(0) + 7
∴ f(0) = 0 + 7
∴ f(0) = 7
The range of the function is {-1 , -11 , 7}
