Answer:
Step-by-step explanation:
I think we need to define domain and range first.
Domain is the set of all x values where the function f(x) exists or is defined.
Range is the set of all y values that will result from substituting all x values (the domain) into the function.
So for g(x) = 2x - 2 we can evaluate g(x) at any point, and we will get a real answer for y.
So the range of g(x) = 2x -2 is also all real numbers, because no matter what value of x is, we can always multiply that number by 2 and subtract 2.
The inequality does not affect the domain and range of linear functions at all. Don't confuse domain and range with a solution to an inequality. These two concepts are different. Domain and range mean all possible values of x and y that could be substituted into the inequality. A solution means all possible values that make the inequality statement true.
The domain as an inequality would be -∞ < x < ∞
The range as an inequality would be -∞ < y < ∞
As a set notation:
Domain {x | -∞ < x < ∞}
Range {y | -∞ < x < ∞}
In interval notation:
Domain (-∞ , ∞)
Range (-∞ , ∞)
End behavior:
As x gets larger and larger, g(x) gets larger and larger as well, and as x gets smaller, g(x) gets smaller too.
