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 one and only one y-value.

Front

What is the definition of 'Not a Function'?

Back

A relation is 'Not a Function' if at least one input is associated with more than one output.

Front

How can you determine if a mapping is a function?

Back

To determine if a mapping is a function, check if each input (x-value) corresponds to exactly one output (y-value).

Front

What does the vertical line test determine?

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

Give an example of a function using ordered pairs.

Back

(1, 2), (2, 3), (3, 4) is a function because each x-value is unique.

Front

Give an example of a relation that is not a function using ordered pairs.

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs of a function, showing how each input is paired with an output.

Front

What is a graph of a function?

Back

A graph of a function is a visual representation of the function's ordered pairs on a coordinate plane.