Functions Intro

Front

What is a function?

Back

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

Front

What is the output of a function called?

Back

The output of a function is called the y-value.

Front

What is the input of a function called?

Back

The input of a function is called the x-value.

Front

How can you determine if a relationship is a function?

Back

A relationship is a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What does the ordered pair (2, 11) represent in a function?

Back

In the ordered pair (2, 11), 2 is the input (x-value) and 11 is the output (y-value).

Front

Is the relationship (3,4), (4,-3), (3,8) a function?

Back

No, it is not a function because the input 3 corresponds to two different outputs (4 and 8).

Front

Which of the following is a function: (9,5) (10,5) (9,-5) (10,-5) or (6,-5) (7,-3) (8,-1) (9,1)?

Back

(6,-5) (7,-3) (8,-1) (9,1) is a function because each input corresponds to exactly one output.

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).

Front

What is a vertical line test?

Back

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