What is the range of the function f(x) = 12 - 3x for the domain {-4, -2, 0, 2, 4}?

Solution:

f(x) = 12 - 3x

Domain= {-4, -2, 0, 2, 4}

To find : Range of the function

Domain = input values and Range = output values.

When you give the input values of x as -4, -2, 0, 2 and 4, we get the output values of y.

When x = -4

f (-4) = 12 - 3 (-4)

f (-4) = 12 + 12 = 24

When x = -2

f (-2) = 12 - 3 (-2)

f (-2) = 12 + 6 = 18

When x = 0

f (0) = 12 - 3 (0)

f (0) = 12

When x = 2

f (2) = 12 - 3 (2)

f (2) = 12 - 6 = 6

When x = 4

f (4) = 12 - 3 (4)

f (4) = 12 - 12 = 0

Therefore, the range is {24, 18, 12, 6, 0}.

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What is the range of the function f(x) = 12 - 3x for the domain {-4, -2, 0, 2, 4}?

Summary:

The range of the function f(x) = 12 - 3x for the domain {-4, -2, 0, 2, 4} is {24, 18, 12, 6, 0}.