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

Solution:

Given f(x) = |x + 6|

Since the denominator is 1, for all values of x, the function is valid

The domain or set of departure of a function is the set into which all of the inputs of the function

Hence, f(x) takes all values of x

So, domain is set of real numbers R

Domain = {(-∞, ∞)/x, x E R }

The output values are called the range.

Since, inputs are real numbers, the outputs will also be real numbers because of the nature of the function

So, the range is set of real numbers R

Range = {(0, ∞)/y, y ≥ 0}

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

Summary:

The domain and range of f(x) = |x + 6| are given as Domain = {(-∞, ∞)/x, x E R} and range = {(0, ∞)/y, y ≥ 0}