For the absolute value function f(x) = |x + 2|, what is the domain of the function?

Solution:

We will use the concept of function to find the domain of the absolute function given.

Let's see how we will use the concept of function to find the domain of the absolute function.

The domain of any function demystifies that each and every point for which the function is defined. Those points are not included in the function's domain for which the function is not defined.

For the above-given function, f(x) = |x + 2|,

f(x) = x + 2 for x > 0

f(x) = 2 for x = 0

f(x) = - (x + 2) for x < 0

Therefore, it is defined on each and every set of values for x.

Hence the domain of the above absolute value function is real number R.

For the absolute value function f(x) = |x + 2|, what is the domain of the function?

Summary:

The domain of the absolute function is all real numbers R.