Analyzing Graphs and Identifying Functions

Front

What are all of the x values in a function called?

Back

Domain

Front

During the second segment of a graph, if a person is moving back towards their starting point, what does this indicate about their direction?

Back

The person is moving back towards their house.

Front

What makes a relation not a function?

Back

If there are two x values that correspond to the same y value.

Front

How do you determine the distance covered in a specific segment of a graph?

Back

By calculating the difference in the y-values at the endpoints of that segment.

Front

What is a function?

Back

A relation where each input (x value) has exactly one output (y value).

Front

If a table has two x values that both equal 10, is it a function?

Back

No, because a function cannot have two outputs for the same input.

Front

What does the range of a function represent?

Back

The set of all possible output values (y values).

Front

In a graph, what does a horizontal line indicate about the movement of an object?

Back

The object is not moving; its position remains constant.

Front

What is the significance of the slope in a graph?

Back

The slope indicates the rate of change of the function; it shows how steep the graph is.

Front

How can you tell if a graph represents a function using the vertical line test?

Back

If a vertical line intersects the graph at more than one point, it is not a function.