Identify Functions

Front

What is a function in mathematics?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How can you determine if a table represents a function?

Back

A table represents a function if each input value (x-coordinate) is associated with exactly one output value (y-coordinate).

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 is not a function.

Front

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

Back

A graph is a function if for every x-value there is exactly one corresponding y-value.

Front

What is an example of a set of values that represents a function?

Back

(6,-5), (7,-3), (8,-1), (9,1) is an example of a set of values that represents a function.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can include functions but does not have to meet the criteria of a function.

Front

What is the definition of a non-function?

Back

A non-function is a relation where at least one input value is associated with more than one output value.

Front

How can you identify a non-function from a graph?

Back

A non-function can be identified from a graph if a vertical line intersects the graph at more than one point.

Front

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

Back

The difference is that a function has a unique output for every input, while a non-function may have multiple outputs for a single input.

Front

What is a one-to-one function?

Back

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