Functions and Analyzing Graphs

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 a constant speed graph look like?

Back

A constant speed graph is represented by a straight line that has a constant slope.

Front

What does it mean when a graph is increasing at a constant rate?

Back

It means that the value of the function is increasing by the same amount over equal intervals of time.

Front

What is the significance of a horizontal line on a distance-time graph?

Back

A horizontal line indicates that the object is not moving; its distance from the starting point remains constant.

Front

How can you identify a head start in a distance-time graph?

Back

A head start is indicated by a graph that starts above the origin on the distance axis.

Front

What does a steep slope on a distance-time graph indicate?

Back

A steep slope indicates a high speed; the object is covering a large distance in a short amount of time.

Front

What does a vertical line on a distance-time graph represent?

Back

A vertical line is not possible in a distance-time graph as it would imply an infinite speed.

Front

What is the difference between acceleration and constant speed?

Back

Acceleration refers to a change in speed or direction, while constant speed means the speed remains the same over time.

Front

What does a decreasing slope on a distance-time graph indicate?

Back

A decreasing slope indicates that the object is slowing down.

Front

How can you tell if two runners had the same speed on a graph?

Back

Two runners have the same speed if their distance-time graphs have the same slope.