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What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?


R = {-7, -1, 9, 17}

R = {1, 7, 9, 17}

R = {-17, -9, -1, 17}

R = {-7, 1, 9, 17}

Respuesta :

The answer is R={-7, 1, 9, 17}

The range of a function is the set of all the possible outputs of the function.

Here we will see that the correct option is: R = {-7, 1, 9, 17}

We want to find the range of f(x) in the domain D = {-4, -2, 0, 2}.

To get this, we just need to evaluate the function in each value of the domain, and the range will be the set of the outputs that we get:

f(-4) = 4*(-4) + 9 = -7

f(-2) = 4*(-2) + 9 = 1

f(0) = 4*0 + 9 = 9

f(2) = 4*2 + 9 = 17

Then the range is:

R = {-7, 1, 9, 17}

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