Analyzing Functions & Graphs

Front

What does it mean when a graph is increasing?

Back

A graph is increasing when the y-values rise as the x-values increase.

Front

What does it mean when a graph is decreasing?

Back

A graph is decreasing when the y-values fall as the x-values increase.

Front

What does it mean when a graph shows no change?

Back

No change means the y-values remain constant as the x-values increase.

Front

What is a constant rate of change?

Back

A constant rate of change means that the graph increases or decreases at the same rate over time.

Front

How can you determine which person is running the fastest from a graph?

Back

The fastest runner is represented by the steepest slope on the graph.

Front

What is the significance of the slope in a graph?

Back

The slope indicates the rate of change; a steeper slope means a greater rate of change.

Front

How do you calculate the total time taken for a journey from a graph?

Back

Total time can be calculated by finding the distance on the x-axis that corresponds to the journey.

Front

What does the area under a graph represent in a distance-time graph?

Back

The area under the graph represents the total distance traveled.

Front

What is the difference between speed and velocity?

Back

Speed is a scalar quantity (magnitude only), while velocity is a vector quantity (magnitude and direction).

Front

How do you interpret a flat line on a distance-time graph?

Back

A flat line indicates that the object is at rest; there is no change in distance over time.