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 (x-value) corresponds to exactly one output (y-value). If any input has multiple outputs, it is not a function.

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 because each x-value is unique.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can include functions but does not have the restriction that each input must correspond to exactly one output.

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 has at least one input that corresponds to multiple outputs.

Front

Can a vertical line intersect a function more than once?

Back

No, if a vertical line intersects a graph more than once, the graph does not represent a function.

Front

What is the definition of a one-to-one function?

Back

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

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its corresponding output.