Function Function

Front

What is a function?

Back

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

Front

What is the vertical line test?

Back

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

Front

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

Back

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

Front

Which of the following is NOT a function: (1,2), (1,3), (2,4), (3,5)?

Back

(1,2), (1,3) is NOT a function because the input '1' corresponds to two different outputs.

Front

How can you identify a function from a set of ordered pairs?

Back

Check if any x-value is repeated with different y-values. If so, it is not a function.

Front

What is an example of a function?

Back

An example of a function is the set of ordered pairs: (1,2), (2,3), (3,4). Each x-value is unique.

Front

What is a mapping in the context of functions?

Back

A mapping is a way to describe how each element of a set (domain) is paired with an element of another set (range).

Front

What is the domain of a function?

Back

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

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

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input corresponds to only one output.