Describing Graphs

Front

What is a continuous graph?

Back

A continuous graph is a graph that can be drawn without lifting the pencil from the paper, meaning it has no breaks or gaps.

Front

What is a discrete graph?

Back

A discrete graph consists of distinct points that are not connected, representing separate values.

Front

What characterizes a linear function?

Back

A linear function is characterized by a straight line when graphed, indicating a constant rate of change.

Front

What characterizes a nonlinear function?

Back

A nonlinear function is characterized by a curve or a line that is not straight, indicating a variable rate of change.

Front

How can you identify a linear function from a graph?

Back

You can identify a linear function from a graph if it forms a straight line.

Front

How can you identify a nonlinear function from a graph?

Back

You can identify a nonlinear function from a graph if it forms a curve or any shape that is not a straight line.

Front

What does it mean for a function to be open-ended?

Back

An open-ended function extends infinitely in one or both directions without a defined endpoint.

Front

What is the slope of a linear function?

Back

The slope of a linear function represents the rate of change of the function, calculated as the rise over run.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis.

Front

What is the difference between positive and negative slope?

Back

A positive slope indicates that the function is increasing, while a negative slope indicates that the function is decreasing.