Functions, Functions, Functions!

Front

What is the definition of a function?

Back

A function is a relation where every input has 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 at more than one point, the graph does not represent 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) is paired with exactly one output (y-value).

Front

How can you determine if a relation is a function?

Back

To determine if a relation is a function, check if any x-value is associated with more than one y-value.

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), where each x-value has a unique y-value.

Front

What is an example of a non-function?

Back

An example of a non-function is the set of ordered pairs (1, 2), (1, 3), where the x-value 1 is associated with two different y-values.

Front

What is a mapping in the context of functions?

Back

A mapping is a way to describe how each element in one set (domain) is paired with elements in 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) 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

What is a one-to-one function?

Back

A one-to-one function is a function where each output is paired with exactly one input, meaning no two different inputs produce the same output.