What are the domain and range of f(x) = |x – 3 | + 6? Domain: x Range: y ≥ 6 Domain: x Range: y Domain: x Range: y ≥ – 6 Domain: x Range: y

Question

What are the domain and range of f(x) = |x – 3 | + 6? Domain: x Range: y ≥ 6 Domain: x Range: y Domain: x is all real numbers Range: y Domain: x ≥ 3 Range: y ≥ – 6

Answer 1

A

Explanation:

Answer 2

Domain: x is all real numbers Range: y ≥ 6

Explanation:

Domain is the set of all x values. No operations restrict the domain in this case. The domain is all real numbers.

Range is the set of all y values. Absolute value has a v shape starting at 0. Adding 6 raises this vertex to 6. The range is therefore all numbers greater than or equal to 6.