Unit 5 Test: Use Functions to Model Relationships

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

Does the relation (1, 3), (2, 3), (3, 3), (4, 3) represent a function?

Back

Yes, because each input has one output.

Front

What is the rate of change (slope) for Jane's running speed of 6 miles per hour?

Back

6 miles/hour.

Front

What is the definition of slope in a function?

Back

Slope is the measure of the steepness of a line, calculated as the change in y divided by the change in x.

Front

Does the relation (1, 3), (2, 5), (2, 7), (4, 9) represent a function?

Back

No, because the input '2' has two different outputs.

Front

What is the rate of change (slope) for Fresh Look Painting's hourly rate of $20?

Back

$20/hour.

Front

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

How can you determine if a relation is a function using a graph?

Back

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

Front

What is the formula for calculating slope?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is an example of a function in real life?

Back

The relationship between the number of hours worked and the amount of money earned at a fixed hourly rate.