Is it a Function?

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the vertical line test?

Back

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

Front

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

Back

A set of ordered pairs is a function if no two pairs have the same first element (x-value) with different second elements (y-values).

Front

Is the following set of ordered pairs a function? {(1, 2), (1, 3), (2, 4)}

Back

Not a Function (the x-value 1 has two different y-values: 2 and 3).

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)}.

Front

What is a mapping in mathematics?

Back

A mapping is a way to pair each element of one set with an element of another set, which can represent a function.

Front

Is the following mapping a function? {1 -> 2, 2 -> 3, 3 -> 4}

Back

Function (each input has exactly one output).

Front

What is a non-function mapping?

Back

A non-function mapping is when at least one input is paired with more than one output.

Front

Is the following table a function? x | y 1 | 2 1 | 3 2 | 4

Back

Not a Function (the x-value 1 has two different y-values: 2 and 3).

Front

What does it mean if a graph passes the vertical line test?

Back

If a graph passes the vertical line test, it means that for every x-value, there is only one corresponding y-value, indicating it is a function.