Question

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

Answer 1

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: $f(x) \geq 0$

Step-by-step 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}