Interpreting Graphs of Functions

Front

What does it mean when a graph is stationary?

Back

The object is not moving; its position does not change over time.

Front

How do you identify coordinates on a graph?

Back

Coordinates are given in the format (x,y), where x is the horizontal position and y is the vertical position.

Front

What does it indicate if a graph shows a flat line?

Back

The object is not moving; it is stationary.

Front

What does a steep slope on a graph represent?

Back

A steep slope indicates a high speed or rapid change in position.

Front

What does a downward slope on a graph indicate?

Back

The object is returning to the starting position; it is moving backward.

Front

What does it mean if a graph shows a curve?

Back

The object is accelerating or decelerating; its speed is changing.

Front

How can you tell if an object is moving at a constant speed on a graph?

Back

A straight diagonal line indicates constant speed; the position changes uniformly over time.

Front

What does it mean when a graph shows a section where the line is horizontal?

Back

The object is moving at a constant speed; it is not accelerating or decelerating.

Front

What is the significance of the x-axis on a graph?

Back

The x-axis typically represents time in motion graphs.

Front

What is the significance of the y-axis on a graph?

Back

The y-axis typically represents distance or position in motion graphs.