Interpreting Graphs of Functions

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (X,Y).

Front

What does the point (0,0) represent in a graph?

Back

The point (0,0) is known as the origin in a graph.

Front

How can you determine the speed of an object from a graph?

Back

You can determine the speed of an object by analyzing the slope of the line between two points on the graph; a constant slope indicates constant speed.

Front

What does a horizontal line on a graph indicate about an object's motion?

Back

A horizontal line indicates that the object is not changing its position over time, meaning it is at rest.

Front

What does a vertical line on a graph indicate?

Back

A vertical line indicates that the object is moving infinitely fast, which is not physically possible in real-world scenarios.

Front

How do you interpret the axes of a graph?

Back

The axes of a graph represent different variables; the x-axis typically represents the independent variable, while the y-axis represents the dependent variable.

Front

What does it mean if a graph has a positive slope?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Front

What does it mean if a graph has a negative slope?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

What is the significance of the points A and B in a motion graph?

Back

Points A and B represent specific positions of the object at different times, and the line connecting them shows the object's motion between those points.

Front

How can you tell if an object is accelerating from a graph?

Back

An object is accelerating if the slope of the graph is changing; a curve indicates that the speed is increasing or decreasing.