Identify Functions

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (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, it is not a function.

Front

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

Back

A relation is a function if every input is associated with exactly one output.

Front

Is the set of points (2,3), (2,4), (3,5) a function?

Back

No, because the input 2 is associated with two different outputs (3 and 4).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing whether a relation is a function.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the unit rate from a total?

Back

To find the unit rate, divide the total quantity by the total cost or total number of units.

Front

Is the relation {(1,2), (2,3), (3,4)} a function?

Back

Yes, because each input has exactly one output.

Front

What is an example of a non-function?

Back

The relation {(1,2), (1,3)} is not a function because the input 1 has two different outputs.

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.