8.5G 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 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

Identify the x-value in the ordered pair (3, 5).

Back

The x-value is 3.

Front

Identify the y-value in the ordered pair (3, 5).

Back

The y-value is 5.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Which of the following is a function? {(1, 2), (1, 3), (2, 4)}

Back

Not a function, because the x-value 1 has two different y-values (2 and 3).

Front

Which of the following is a function? {(2, 3), (3, 4), (4, 5)}

Back

It is a function, because each x-value has only one y-value.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value gives a unique y-value.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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