Function or Not a Function

Front

What is a function?

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

What is the definition of 'not a function'?

Back

A relation is not a function if at least one input is related to more than one output.

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, it is not a function.

Front

Give an example of a function using ordered pairs.

Back

(2, 3), (3, 4), (4, 5) is a function because each input has a unique output.

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 input '1' is related to two different outputs.

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if each input value corresponds to exactly one output value.

Front

What is an example of a function in a real-world context?

Back

A function can represent the relationship between the number of hours worked and the amount of money earned, where each hour corresponds to a specific amount of money.

Front

How can you tell if a graph is a function?

Back

You can use the Vertical Line Test; if a vertical line crosses the graph more than once, it is not a function.

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.