Determine whether each statement makes sense or does not...

Determine whether each statement makes sense or does not make sense, and explain your reasoning.
I graphed a function showing how paid vacation days depend on the number of years a person works for a company. The domain was the number of paid vacation days.

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Key Concepts

Function

A mathematical relationship where each input value is assigned one output value. This concept is central because it establishes how variables interact and depend on one another within a given context.

Domain

The complete set of input values for which a function is defined. Correctly identifying the domain is important since it represents the independent variable, and mixing up the domain with the range can lead to misunderstandings about the underlying relationship.

Range

The set of output values associated with the domain of the function. In many real-life applications, distinguishing the range from the domain helps accurately interpret which variable is responding to changes.

Independent Variable

The variable that is chosen as the input of the function and typically shown on the horizontal axis. It is crucial to determine which variable is the independent variable to avoid confusion about the roles of the variables in a functional relationship.

Dependent Variable

The variable that depends on the independent variable and is usually plotted on the vertical axis. Identifying the dependent variable correctly is essential for interpreting how the output values change relative to the input values.

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