Question

Find the domain and range of the following function ƒ(x) = 5|x - 2| + 4 Domain: [4,8) Range: (-∞,∞) Domain: (4,∞) Range: (-∞,∞) Domain: (-∞,∞) Range: [4,∞) Domain: (-∞,∞) Range: (4,∞)

Answer 1

Domain: (-∞,∞) Range: (4,∞)

Answer 2

Explanation:

Hi,

the function is defined for all reals so the domain is
`]-\infty;+\infty[`

for x real

|x| >= 0

so f(x) >= 4

so the range is
`[4;+\infty[`

do not hesitate if you need any further explanation

hope this helps