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

Answer 1

To find the range of the function, we need to find the output values of the function for each input value in the given domain.

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 f(x) = 5x^2 + 4 for the given domain {-4, -2, 0, 4} is {4, 24, 84}.