Analyzing Graphs of Functions

Front

What does a horizontal line on a graph represent?

Back

Constant speed (no change in position over time).

Front

What does a vertical line on a graph represent?

Back

An undefined speed (not moving).

Front

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

Back

A fast speed.

Front

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

Back

A slow speed.

Front

How can you determine if an object is accelerating on a graph?

Back

If the slope of the graph is increasing.

Front

What does the area under a speed-time graph represent?

Back

The distance traveled.

Front

What does a curve on a distance-time graph indicate?

Back

Changing speed (acceleration or deceleration).

Front

How can you find the total distance traveled from a graph?

Back

By calculating the area under the graph.

Front

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

Back

The object is moving back towards the starting point.

Front

What is the significance of the y-intercept on a distance-time graph?

Back

It represents the starting position of the object.