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.

Respuesta :

Answer:

Domain: [tex]x[/tex]

Number of pieces of candy: Discrete variable.

Domain of the function: [tex]Dom\{y\} = \mathbb{N}_{O}[/tex]

Step-by-step explanation:

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

Since [tex]x[/tex] 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.