A set of weights includes a20lb barbell and6pairs of weight plates. Each pair of plates weighs 30 lb. Ifxpairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x)=30x+20.
What is the domain & range of the function for this situation?
The domain refers to the set of possible values for the input variable, in this case, "x". Since "x" represents the number of pairs of weight plates added to the barbell, it can only take on non-negative integer values. Therefore, the domain of this function is {0, 1, 2, 3, ....} or simply the set of non-negative integers.
The range, on the other hand, refers to the set of possible values for the output variable, in this case, "f(x)" or the total weight of the barbell and plates. The weight of the barbell and plates can never be negative since weights are always non-negative. Therefore, the range of this function is all non-negative real numbers, or simply [0, ∞).