Is it a Function?

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 if a mapping is not a function?

Back

If a mapping is not a function, it means that at least one input is associated with more than one output.

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 input '1' has two different outputs.

Front

What is a graph that does not represent a function?

Back

A graph that has a vertical line intersecting it at more than one point does not represent a function.

Front

What is the definition of a domain in a function?

Back

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

Front

What is the definition of a range in a function?

Back

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

Front

How can you tell if a table of values represents a function?

Back

A table represents a function if no x-value is repeated with different y-values.

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.