Question

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

Answer 1

We can find the range of the function by substituting the given values of the domain into the function and determining the corresponding range values.

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

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

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

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

The range of the function for the given domain {-4, -2, 0, 4} is {4, 24, 84}.