Function Relations Flashcard

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

How can you determine if a relation is a function from a table?

Back

Check if any input value corresponds to more than one output value.

Front

What does the domain of a relation represent?

Back

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

Front

What does the range of a relation represent?

Back

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

Front

Is the relation (2, 4), (3, 6), (4, 8) a function?

Back

Yes, it is a function because each input has one output.

Front

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

Back

No, it is not a function because the input 1 has two outputs.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

If a function has an input of 3 and outputs 5 and 7, is it a function?

Back

No, because the input 3 has two different outputs.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has one output, while a relation can have multiple outputs for a single input.