Function or not

Front

What is a function?

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 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, then the graph is not a function.

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 are ordered pairs?

Back

Ordered pairs are pairs of numbers (x, y) that represent coordinates on a graph, where 'x' is the input and 'y' is the output.

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(1) = 2 and f(3) = 2 are valid in a function.

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. No two different inputs can produce the same output.

Front

What is a many-to-one function?

Back

A many-to-one function is a function where multiple inputs can produce the same output. For example, f(1) = 2 and f(3) = 2.

Front

What is a 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: (1, 2), (2, 3), (3, 4). Is this a function?

Back

Yes, this is a function because each input (1, 2, 3) has a unique output (2, 3, 4).

Front

Example of a not a function: (1, 2), (1, 3). Is this a function?

Back

No, this is not a function because the input '1' is associated with two different outputs (2 and 3).