Question

What are the domain and range of f(x) = 2|x – 4|?
domain: x mc005-1.jpg 2; range: mc005-2.jpg
domain: mc005-3.jpg; range: f(x) mc005-4.jpg 0
domain: mc005-5.jpg; range: f(x) mc005-6.jpg 0
domain: x mc005-7.jpg 2; range: mc005-8.jpg

Answer 1

Domain: all real numbers, (-∞, ∞).

Range: all real y ≥ 0, [0, ∞).

Reason: |x−4| ≥ 0 for all x, equals 0 at x = 4, and 2|x−4| grows without bound.