Question

Find the domain of the function represented by the graph. Determine whether the domain is discrete or continuous. Explain. The linear function y=1.25x represents the cost y(in dollars) of x bottles of orange juice. Each customer can buy a maximum of five bottles.

Answer 1

Recall that a discrete domain consists of only certain numbers.

In this case, the number of bottles cannot be an irrational number, or a non-natural number greater than 5.

The domain only consists of the first five natural numbers.

Answer: Discrete.