Interpreting Graphs of Functions

Front

What is the origin in a coordinate system?

Back

The origin is the point (0,0) where the x-axis and y-axis intersect.

Front

What does the y-coordinate represent in an ordered pair (x,y)?

Back

The y-coordinate represents the vertical position of a point on the graph.

Front

What does it mean when a graph is flat (horizontal)?

Back

A flat graph indicates that the object is not moving; its speed is zero.

Front

What does a steep upward slope on a graph indicate?

Back

A steep upward slope indicates that the object is accelerating and moving away from the starting position.

Front

What does a downward slope on a graph indicate?

Back

A downward slope indicates that the object is decelerating or moving back towards the starting position.

Front

What is the difference between accelerating and moving at a constant speed?

Back

Accelerating means the speed is changing, while constant speed means the speed remains the same.

Front

In the ordered pair (4,9), what does the number 4 represent?

Back

The number 4 represents the x-coordinate.

Front

What does it mean if a graph shows a vertical line?

Back

A vertical line indicates that the x-coordinate is constant while the y-coordinate changes, which is not a function.

Front

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

Back

If the graph is a straight line with a positive or negative slope, the object is moving at a constant speed.

Front

What does it mean if a graph has a curve?

Back

A curve indicates that the object's speed is changing; it could be accelerating or decelerating.