What is the domain of the equation Y=3x-8

Answer 1

The domain is the set of the possible "x-values" that can be used in this function. Many times, it is easier to think about values that "x" cannot be. So ask yourself, are there any values for "x" that cannot be plugged into this function?

Can you plug in zero? Yes, 3(0) + 8 = 8

Can you plug in negative 100? Yes, 3(-100) + 8 = -292

Can you plug in 7? Sure, 3(7) + 8 = 29

In fact, there are no restrictions for "x". Any real number can be used. So the domain is all Real Numbers.

This can be written in several different ways though. One way is to so that x can be any Real Number. Another is to say that -∞ < x < ∞. Another way is to use interval notation and say the domain is (-∞, ∞). Another is to use set builder notation which says: {x| -∞ < x < ∞}. I guess how you present your answer depends on how you were taught and what your teacher expects. But the bottom line is that x can be any real number.