Answer:
[tex]\large \boxed{ \text{Range = [0, 1000]; Domain = [0, 333]}}[/tex]
Step-by-step explanation:
ƒ(x) = 3x
1. Range
The range is the spread of the y-values (minimum to maximum distance).
The minimum is zero, that is, they make no money if they wrap no presents.
The maximum is 1000 presents, because they don't have enough paper to wrap any more.
The range is from 0 to 1000.
[tex]\text{In interval notation, the range is $\large \boxed{\mathbf{[0, 1000]}}$}[/tex]
2. Domain
The domain is the set of all possible x-values that will make the function work.
ƒ(x) = y = 3x
x = ⅓y
When y = 0, x = 0.
When y = 1000, x = 1000/3 =333⅓.
However, they can't wrap a third of a present.
x can take any value from 0 to 333.
[tex]\text{In interval notation, the domain is $\large \boxed{\mathbf{[0, 333]}}$}[/tex]
The diagram below shows the range and domain of your function
