Describing Graphs

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It has a constant rate of change.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line. Its rate of change varies.

Front

What does it mean for a graph to be continuous?

Back

A continuous graph is one where there are no breaks or gaps; it can be drawn without lifting the pencil.

Front

What does it mean for a graph to be discrete?

Back

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

Front

How can you identify a linear function from its graph?

Back

A linear function will show a straight line when graphed, indicating a constant rate of change.

Front

How can you identify a nonlinear function from its graph?

Back

A nonlinear function will show a curved line or a line that changes direction when graphed.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run between two points.

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x is zero.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.