Question

What are the domain and range of f(x) = |x + 6|?
domain: mc004-1.jpg; range: f(x) mc004-2.jpg 0
domain: x mc004-3.jpg mc004-4.jpg; range: mc004-5.jpg
domain: x mc004-6.jpg mc004-7.jpg; range: mc004-8.jpg
domain: mc004-9.jpg; range: f(x) mc004-10.jpg 0

Answer 1

Domain: (-∞, ∞)

Range: [0, ∞)

Reason: |x + 6| is defined for every real x, and absolute value is always ≥ 0 (minimum 0 occurs at x = -6).