Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

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

Back

(6,-5) (7,-3) (8,-1) (9,1) is a function because each x-value is unique.

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

What is the output of the function f(x) = 2x + 3 when x = 4?

Back

The output is 11, because f(4) = 2(4) + 3 = 11.

Front

Identify the range of the relation: (9, -2) (4, 3) (8, 10) (-4, 8).

Back

The range is {-2, 3, 8, 10}.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between the domain and range of a function.

Front

Is the following relation a function? (1, 2) (1, 3) (2, 4) (3, 5)

Back

Not a function, because the input 1 is associated with two different outputs (2 and 3).

Front

What is an example of a function in real life?

Back

An example is a vending machine: each button (input) corresponds to one specific snack (output).