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5. The domain of f(x) = -2x + 1 is {-4, -1, 0, 2}. Find the range.

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Answer: Range = { 9, 3, 1, -3}

Step-by-step explanation:

The function is f(x) = -2x + 1

Domain = {-4, -1, 0, 2}

Note that the domain is a set of of all the values of x ( i.e. the independent variable)

The range is a set of the corresponding value of f(x) for each value of x in the domain.

For x = -4

f(-4) = -2(-4) + 1 = 8 + 1

f(-4) = 9

f(-1) = -2(-1) + 1 = 2 + 1

f(-1) = 3

f(0) = -2(0) + 1 = 0 + 1

f(0) = 1

f(2) = -2(2) + 1 = -4 + 1

f(2) = -3

Therefore the set of all the values above which is the range will be given as:

Range = { 9, 3, 1, -3}

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