Question

A donut shop charges $0.80 per glazed donut and $2.50 per coffee. If x donuts are purchased, the total cost y of donuts and a coffee can be represented by f(x)=0.80x+2.50.



What are the domain and range of this function?
Answer
what is the answer
Answer
how would you put [0, ∞) with a iniquality
Answered by GPT 3.5
The domain of the function f(x) is the set of possible inputs or values of x. In this case, the number of donuts purchased, x, can be any non-negative whole number or zero since it doesn't make sense to purchase a negative number of donuts. Therefore, the domain is the set of non-negative whole numbers or zero, which can be represented as {0, 1, 2, 3, ...}.

The range of the function f(x) is the set of possible outputs or values of y. In this case, the total cost y can be any non-negative real number since both the cost of a donut and the cost of a coffee are non-negative. Therefore, the range is the set of non-negative real numbers, which can be represented as [0, ∞).
Answered by GPT 3.5
The domain of the function f(x) is {0, 1, 2, 3, ...} and the range is [0, ∞).
Answered by GPT 3.5
Inequality notation for [0, ∞) would be y ≥ 0. This represents all values of y that are greater than or equal to zero.