Question

Find the domain of the absolute value function.Set of integersSet of all real numbersSet of irrational numbersSet of rational numbers

Answer 1

Given: Absolute value function.

Required: To determine the domain.

Explanation: The domain of a function is the set of possible x values. These are the input values of a function that corresponds to an y value of the function.

Here we have a modulus function. A modulus of a function always returns the non-negative value of the function.

For example,

`\lvert{-2}\rvert=2`

And the absolute value of 2 is also 2.

Thus, any real number can be substituted for x. Hence the domain is the set of all real values, while the range is the set of all the positive real numbers.

Final Answer: Option B) Set of all real numbers is the correct option.