Question

What are the domain and range of f(x) = |x + 6|? Domain: (negative infinity, infinity); range: f(x) > 0 domain: x < -6; range: (negative infinity, infinity) domain: x > -6; range: (negative infinity, infinity) domain: (negative infinity, infinity) ; range: f(x) < 0

Answer 1

A

Explanation:

on edge

Answer 2

Domain:
`(-\infty,\infty)`

Range:
`f(x) \ge 0`

Explanation:

Given

`f(x) = |x + 6|`

Required

The domain and the range

First, we calculate the domain

`f(x) = |x + 6|`

The above function does not have roots or fraction, where x is the denominator. This means that the domain is all real numbers, i.e.
`(-\infty,\infty)`

The range

The function is an absolute function; So, the minimum value is 0.

Hence, the range is:

`f(x) \ge 0`