Question

What is the range of the function f(x)=5−8x

when the domain is {-2, 2, 4}?

Answer 1

The range is the set of all values that the function can take on when x is any number in the domain.

In this case, it's made easy by the fact that the domain is made up of only 3 distinct numbers. So all you have to do is plug each number in the domain into the function and make a list of all three of the function values that result.

f(-2) = 5 - 8 * (-2) = 5 + 16 = 21

f(2) = 5 - 8 * 2 = 5 - 16 = - 11

f(4) = 5 - 8 * 4 = 5 - 32 = -27

So the range is the set {21, -11, -27}

Answer 2

{21, -11, -27}.

Step-by-step explanation]

To find the range of the function f(x) = 5 - 8x for the given domain {-2, 2, 4}, we can evaluate the function for each value in the domain and list the resulting outputs.

When x = -2, f(x) = 5 - 8(-2) = 21

When x = 2, f(x) = 5 - 8(2) = -11

When x = 4, f(x) = 5 - 8(4) = -27.

So the range of the function f(x) for the given domain is {21, -11, -27}.