PA Midterm Unit 6 Review

Front

What is the definition of a function?

Back

A function is a relation where each input has exactly one output.

Front

How do you determine the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

How do you determine the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the one that is changed or controlled, while the dependent variable is the one that is measured or affected.

Front

In the context of a function, what does it mean if a relation is not a function?

Back

It means that at least one input is associated with more than one output.

Front

If r = the length of a reception and m = the money earned, which variable is independent?

Back

r (the length of the reception) is the independent variable.

Front

If a food service worker earns $12 per hour, how do you express the total earnings?

Back

m = 12h, where m is the total money earned and h is the number of hours worked.

Front

What is an example of a function?

Back

An example is f(x) = 2x + 3, where for each x, there is one corresponding f(x).

Front

What is an example of a relation that is not a function?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 has two different outputs.

Front

How can you visually identify a function from a graph?

Back

Use the vertical line test: if a vertical line crosses the graph more than once, it is not a function.