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, ∞).
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?
5 answers
what is the answer
The domain of the function f(x) is {0, 1, 2, 3, ...} and the range is [0, ∞).
how would you put [0, ∞) with a iniquality
Inequality notation for [0, ∞) would be y ≥ 0. This represents all values of y that are greater than or equal to zero.