Use the given domain to find the range of function:

f(x)=−2x2+7, d={2, −3, 0}

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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}