What is the domain of y = lx21, where x is a real number?

Question

A. all real numbers

B. all real numbers less than or equal to -2

C. all real numbers greater than or equal to -2

D. all real numbers less than or equal to 2

E. all real numbers greater than or equal to 2

Answer 1

To find the domain of the function \( y = |x - 2| \), we first need to clarify what the function consists of and if there are any restrictions based on its definition.

The absolute value function \( |x - 2| \) is defined for all real numbers \( x \). There are no restrictions on the inputs, as you can substitute any real number into the expression \( x - 2 \) and take its absolute value.

Thus, the domain of \( y = |x - 2| \) is:

A. all real numbers.

Therefore, the correct answer is A. all real numbers.