Identifying Functions from Graphs

Front

What is the Vertical Line Test?

Back

A method used to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if each input (x-value) has exactly one output (y-value).

Front

What is a proportional relationship in graphs?

Back

A proportional relationship is when the graph of the relationship is a straight line that passes through the origin (0,0).

Front

How can you tell if a graph is non-proportional?

Back

A graph is non-proportional if it does not pass through the origin.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What does it mean if a graph goes through the origin?

Back

It indicates that the relationship represented by the graph is proportional.

Front

What is the significance of the Horizontal Line Test?

Back

The Horizontal Line Test determines if a function is one-to-one. If any horizontal line intersects the graph more than once, the function is not one-to-one.

Front

What is an example of a non-function graph?

Back

A circle is an example of a non-function graph because a vertical line can intersect it at two points.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has a single output, while a relation can have multiple outputs for a single input.

Front

What does it mean for a graph to be linear?

Back

A linear graph is one that forms a straight line, indicating a constant rate of change.