D5 U1 Flashcard Function Identification and Evaluation

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What does it mean for a mapping diagram to represent a function?

Back

A mapping diagram represents a function if each input value is connected to exactly one output value.

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

Back

It means that when Laney sells 31 hot dogs, she collects $62.

Front

What is the definition of a relation in mathematics?

Back

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

Front

What is the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function has at least one input with multiple outputs.

Front

What is an example of a function?

Back

The set of ordered pairs {(1,2), (2,3), (3,4)} is a function because each input has a unique output.

Front

What is an example of a non-function?

Back

The set of ordered pairs {(1,2), (1,3)} is not a function because the input '1' has two different outputs.

Front

What does the term 'domain' refer to in a function?

Back

The domain is the set of all possible input values for the function.

Front

What does the term 'range' refer to in a function?

Back

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