Find the range of each function for the domain {-4, - 2, 0, 1.5, 4}. f (x) = 5x^2 + 4

Substitute x with the members of the domain.

f (x) = 5x² + 4

Substitute with the domain of - 4

f (x) = 5x² + 4

f (-4) = 5 (-4) ² + 4

f (-4) = 5 (16) + 4

f (-4) = 80 + 4

f (-4) = 84

Substitute with the domain of - 2

f (x) = 5x² + 4

f (-2) = 5 (-2) ² + 4

f (-2) = 5 (4) + 4

f (-2) = 20 + 4

f (-2) = 24

Substitute with the domain of 0

f (x) = 5x² + 4

f (0) = 5 (0) ² + 4

f (0) = 5 (0) + 4

f (0) = 0 + 4

f (0) = 4

Substitute with the domain of 1.5

f (x) = 5x² + 4

f (1.5) = 5 (1.5) ² + 4

f (1.5) = 5 (2.25) + 4

f (1.5) = 11.25 + 4

f (1.5) = 15.25

Substitute with the domain of 4

f (x) = 5x² + 4

f (4) = 5 (4) ² + 4

f (4) = 5 (16) + 4

f (4) = 80 + 4

f (4) = 84

The range of the function for those domain is {4, 24, 15.25, 84}