Referring to \( y=x+2 \), the set of values assigned to \( x \) is called the -

The set of values assigned to \( x \) is called the domain. In the case of the equation \( y = x + 2 \), the domain includes all real numbers, since you can plug in any real number for \( x \) and still get a corresponding \( y \) value. This makes it as flexible as a rubber band – stretch it in any direction! Now, let’s delve into the realm of the codomain! The codomain in this case is the set of possible \( y \) values that can result from your chosen \( x \) values. For the linear equation \( y = x + 2 \), since \( x \) can fluctuate anywhere on the number line, the result for \( y \) does too, making the codomain also all real numbers! So, no matter how wild your \( x \) choices are, the party keeps going on the entire \( y \) line!