Checkpoint #8 Review| Analyzing and Creating Graphs of Functions

Front

What does it mean when a graph shows a decreasing slope?

Back

The object is slowing down.

Front

Define the term 'range' in the context of a function.

Back

The range is the set of all possible output values (y-values) of a function.

Front

What is the significance of the domain in a graph?

Back

The domain represents all possible input values (x-values) for which the function is defined.

Front

How can you determine if an object is at rest from a graph?

Back

If the graph is horizontal (slope = 0), the object is not moving.

Front

What does a constant speed look like on a graph?

Back

A straight line with a positive or negative slope indicates constant speed.

Front

Explain what it means for a function to be increasing.

Back

The output values (y-values) are getting larger as the input values (x-values) increase.

Front

What does it mean when a graph has a flat section?

Back

The object is moving at a constant speed or is at rest.

Front

How do you find the cost of a service from a graph?

Back

Identify the point on the graph that corresponds to the time and read the cost value.

Front

What is the difference between speed and velocity?

Back

Speed is a scalar quantity (magnitude only), while velocity is a vector quantity (magnitude and direction).

Front

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

Back

A vertical line indicates that the function is not defined for that x-value (not a function).