Question

What are the domain and range of f(x) = |x + 6|?

domain: (-00,00); range: f(x) > 0
domain: x 5-6; range: (-00,00)
domain: X2-6; range: (-0,00)
O domain: (-00,00); range: f(x) < 0

Answer 1

a

Explanation:

Answer 2

Complete Question:

What is the domain and range of f(x) = |x + 6|?

domain: (negative infinite,infinite); range: f(x) (greater than or equal to) 0

domain: x (less then or equal to)-6; range: (negative infinite,infinite)

domain: x(greater than or equal to)-6 ; range: (negative infinite,infinite)

domain:(negative infinite,infinite) ; range: f(x) (less than or equal to) 0

Answer:

Domain:
`(-\infty, \infty)` and range:
`f(x) \geq 0`

Explanation:

Given:

f(x) = |x + 6|

The vertex of the function is the point (- 6, 0)

The domain is the interval
`(-\infty, \infty)`. There are no restrictions on the value x can take. Therefore, the Domain is the set of All Real Numbers or {R}

The range is the interval
`(0, \infty)`. So,
`f(x) \geq 0`. Because this is a linear transformation the Range is also the set of All Real Numbers or {R}