Question

The amount of calories you consume after eating x

pieces of candy is represented by the function
y = 150x. Find the domain of the function and
determine whether it is discrete or continuous.

Answer 1

Domain:
`x`

Number of pieces of candy: Discrete variable.

Domain of the function:
`Dom\{y\} = \mathbb{N}_(O)`

Explanation:

Let
`y = 150\cdot x`. From Function Theory, we know that domain represents the set of values of the independent function, defined by the variable
`x` in this case, whereas the range represents the set of values associated with the domain, defined by the variable
`y` in this case.

Since
`x` represents the number of pieces of candy, this variable has a discrete nature.

In addition, this linear function has a domain represented by the set of natural number and the zero element.