Functions vs. Non functions

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 a non-function?

Back

A non-function is a relation where at least one input (x-value) has more than 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

Give an example of a function.

Back

An example of a function is the relation (1, 2), (2, 3), (3, 4). Each x-value has one unique y-value.

Front

Give an example of a non-function.

Back

An example of a non-function is the relation (1, 2), (1, 3). The x-value 1 has two different y-values.

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if no x-value is repeated with different y-values.

Front

What is the solution to the equation 3x + 4 = 2x - 4?

Back

x = -8.

Front

How can you tell if a relation is a function from a graph?

Back

You can tell if a relation is a function from a graph by using the vertical line test.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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