Comparing Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change of the function, indicating how much the output value changes for a given change in the input value.

Front

What is a positive slope?

Back

A positive slope indicates that as the input value increases, the output value also increases.

Front

What is a negative slope?

Back

A negative slope indicates that as the input value increases, the output value decreases.

Front

What does a zero slope indicate?

Back

A zero slope indicates that the output value remains constant regardless of changes in the input value.

Front

How can you determine the rate of change from a graph?

Back

The rate of change can be determined by calculating the slope between two points on the graph.

Front

What does a non-linear function look like on a graph?

Back

A non-linear function does not have a constant slope and its graph is not a straight line; it can curve or change direction.

Front

What does it mean when a graph is flat?

Back

A flat graph indicates that there is no change in the output value as the input value changes.

Front

How can you identify when someone is not moving on a distance-time graph?

Back

On a distance-time graph, a horizontal line indicates that the person is not moving, as the distance remains constant.

Front

What does it mean if a section of a graph is steeper than another?

Back

A steeper section of a graph indicates a greater rate of change, meaning the output value is changing more rapidly with respect to the input value.