A set of weights include a 20 pound barbell and six pairs of weight plates each pair plates weighs 30 pounds if X pairs of plates were added to the barbell the total weight of the barbell and plated in pounds can be represented by f(x)=30x+20
Does this graph represent a discrete or continuous situation?
What is the domain and range of the function of this situation
This graph represents a discrete situation, because the number of pairs of weight plates added to the barbell can only be a whole number.
The domain of the function is the set of possible values for x, which in this case is the number of pairs of weight plates added. Since x represents the number of pairs, it can only take on whole number values. So, the domain is {0, 1, 2, 3, ...} or simply the set of non-negative integers.
The range of the function is the set of possible values for f(x), which represents the total weight of the barbell and plates. The lowest possible weight is when no weight plates are added, which is just the weight of the empty barbell, 20 pounds. As more pairs of weight plates are added, the weight increases by 30 pounds for each pair. So, the range is {20, 50, 80, 110, ...} or simply the set of numbers that are 30 times a non-negative integer, plus 20.