Functions and Non-Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is a non-function?

Back

A non-function is a relation where at least one input is related to more than one output.

Front

How can you determine if a relation is a function using the vertical line test?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it does not have a defined slope.

Front

Give an example of a function using a set of ordered pairs.

Back

(1, 2), (2, 3), (3, 4) is a function because each input has exactly one output.

Front

Give an example of a non-function using a set of ordered pairs.

Back

(1, 2), (1, 3), (2, 4) is a non-function because the input '1' has two different outputs.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for the function.