Function Representation Flashcard

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one corresponding y-value.

Front

How can you determine if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no two different pairs have the same first element (x-value).

Front

What does it mean if a table of values does not represent a function?

Back

If a table of values does not represent a function, it means that at least one x-value is associated with more than one y-value.

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, the graph does not represent a function.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs. For example, f(2) = 3 and f(4) = 3 are valid in a function.

Front

What is an example of a function?

Back

An example of a function is f(x) = x + 2, where each input x has a unique output.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, where the input 1 is associated with two different outputs.

Front

What does it mean for a graph to represent a function?

Back

For a graph to represent a function, each x-value must correspond to exactly one y-value.

Front

What is a mapping in mathematics?

Back

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

Front

What is the difference between a function and a non-function?

Back

A function has a unique output for each input, while a non-function may have multiple outputs for the same input.