Is it a Function?

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 relation is a function?

Back

A relation is a function if no x-value is paired with more than one 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, 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 every x-coordinate has exactly one corresponding y-coordinate.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value corresponds to only one y-value.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is the set of points {(1, 2), (1, 3)}, where the x-value 1 is paired with two different y-values.

Front

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

Back

A one-to-one function is a function where each y-value is paired with exactly one x-value, meaning no two different x-values can have the same y-value.

Front

What is the difference between a function and a relation?

Back

A relation is any set of ordered pairs, while a function is a specific type of relation where each input is associated with exactly one output.

Front

What is a mapping diagram?

Back

A mapping diagram is a visual representation of a function that shows how each element of the domain is paired with an element of the range.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for the function.