FUNCTION OR NOT FUNCTION

Front

What is a function?

Back

A function is a relation in which each input (x-value) is associated with exactly one output (y-value).

Front

What is the vertical line test?

Back

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

Front

Define a relation.

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

What does it mean for a relation to be not a function?

Back

A relation is not a function if at least one input is associated with more than one output.

Front

Example of a function: A = {(1, 2), (2, 3), (3, 4)}. Is A a function?

Back

Yes, A is a function because each input has exactly one output.

Front

Example of a not function: E = {(2, 3), (2, 5)}. Is E a function?

Back

No, E is not a function because the input 2 is associated with two different outputs (3 and 5).

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 which the function is defined.

Front

What is the range of a function?

Back

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

Front

If a relation has the pairs {(1, 2), (1, 3)}, is it a function?

Back

No, it is 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 of a function in real life is a vending machine, where each button (input) corresponds to one specific item (output).