Functions

Front

What does the y-axis represent on a graph?

Back

The y-axis shows the range of a function.

Front

What is the graph of a constant function, such as y = 3?

Back

A horizontal line at y = 3.

Front

If Armando saves $50 each week starting with $300, how can we represent this relationship graphically?

Back

The graph will be a straight line starting at (0, 300) with a slope of 50.

Front

What does the equation x = -4 represent on a graph?

Back

A vertical line at x = -4.

Front

What is a function?

Back

A relation where each input has exactly one output.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How do you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Front

What is the slope of a line?

Back

The slope is the ratio of the rise (change in y) to the run (change in x).

Front

What does a positive slope indicate about a function?

Back

A positive slope indicates that as x increases, y also increases.