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}