Function or Not?

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the vertical line test?

Back

The vertical line test is a method 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 if a relation is not a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

Give an example of a function using ordered pairs.

Back

(2, 3), (4, 5), (6, 7) is a function because no x-values repeat.

Front

Give an example of a relation that is not a function using ordered pairs.

Back

(1, 2), (1, 3), (2, 4) is not a function because the x-value 1 is associated with two different y-values.

Front

What is the significance of repeating y-values in a function?

Back

Repeating y-values does not affect whether a relation is a function, as long as each x-value is unique.

Front

What is an example of a graph that is a function?

Back

A straight line with a slope that does not vertical is a function.

Front

What is an example of a graph that is not a function?

Back

A circle is not a function because a vertical line can intersect it at two points.

Front

How can you tell if a set of ordered pairs is a function?

Back

Check if any x-value is repeated with different y-values. If so, it is not a function.

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each output (y-value) is associated with exactly one input (x-value).