What is the range of the function f(x) = |x – 3| + 4? R: f(x) ≥ 4 R: f(x) ∈ ℝ R: f(x) ∈ ℝ R: f(x) < 7

Question

What is the range of the function f(x) = |x – 3| + 4?

R: f(x) ≥ 4

R: f(x) ≤ 4

R: f(x) > 7

R: f(x) < 7

Answer 1

Answer: R: f(x) ∈ ℝ

Explanation:

`|x-3| \geq 0` for all real x, so the range is
`f(x) \geq 4`.