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 only one corresponding y-value.

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with more than one output. This means that a single x-value can correspond to multiple y-values.

Front

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

Back

A set of ordered pairs is a function if no x-value is repeated. If any x-value appears more than once with different y-values, it is not a function.

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

Give an example of a function using ordered pairs.

Back

Example: {(1, 2), (2, 3), (3, 4)} - This is a function because each x-value is unique.

Front

Give an example of a non-function using ordered pairs.

Back

Example: {(1, 2), (1, 3), (2, 4)} - This is not a function because the x-value '1' is associated with two different y-values.

Front

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

Back

A graph is a function if every x-coordinate has exactly one corresponding y-coordinate.

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, which can include functions and non-functions.

Front

What is the difference between a function and a relation?

Back

All functions are relations, but not all relations are functions. Functions have a unique output for each input.

Front

How can you identify a function from a table of values?

Back

A function can be identified from a table of values if each x-value corresponds to only one y-value.