Find the range of the function f(x)=5x^2+4 for the {−4, −2, 0, 4}

Answer 1

To find the range of the function, we need to find the range of values that f(x) can take for the given values of x.

Let's evaluate f(x) for each value of x:

For x = -4:
f(-4) = 5(-4)^2 + 4 = 5(16) + 4 = 80 + 4 = 84

For x = -2:
f(-2) = 5(-2)^2 + 4 = 5(4) + 4 = 20 + 4 = 24

For x = 0:
f(0) = 5(0)^2 + 4 = 5(0) + 4 = 0 + 4 = 4

For x = 4:
f(4) = 5(4)^2 + 4 = 5(16) + 4 = 80 + 4 = 84

The range of the function is the set of all possible values of f(x) for these x values. So the range is {84, 24, 4}.