Graphing Stories

Front

What does it mean for a graph to be decreasing?

Back

A decreasing graph indicates that as the independent variable (usually time) increases, the dependent variable (such as distance) decreases.

Front

What does it mean for a graph to be increasing?

Back

An increasing graph indicates that as the independent variable increases, the dependent variable also increases.

Front

What does a constant graph represent?

Back

A constant graph represents a situation where the dependent variable does not change as the independent variable changes.

Front

How can you determine if a graph is increasing, decreasing, or constant?

Back

By analyzing the slope of the graph: a positive slope indicates increasing, a negative slope indicates decreasing, and a slope of zero indicates constant.

Front

What does it mean when a helicopter's distance is decreasing?

Back

It means the helicopter is moving closer to the starting point or returning to the launch pad.

Front

What is the significance of the time interval in analyzing a graph?

Back

The time interval helps to determine the behavior of the graph over specific periods, indicating changes in speed or distance.

Front

What does it mean when a graph stays the same over a time interval?

Back

It means that the value of the dependent variable remains unchanged during that interval.

Front

What is the relationship between speed and the slope of a distance-time graph?

Back

The slope of a distance-time graph represents speed; a steeper slope indicates higher speed.

Front

What does it indicate if a helicopter stayed at the launching pad for a period of time?

Back

It indicates that the distance from the launch pad did not change, meaning the helicopter was stationary.

Front

How can you identify the intervals of increasing speed on a graph?

Back

By looking for sections of the graph where the slope is increasing.