Afda Function and Relations Review

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

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What is a relation?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph is a function by checking if any vertical line crosses the graph more than once.

Front

What is a mapping in mathematics?

Back

A mapping is a way to describe how each element of a set (domain) is paired with an element of another set (range).

Front

What does it mean for a relation to be not a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

Identify the relation that is NOT a function: {(1,-5), (3,1), (-5,4), (4,-2)}, {(2,7), (3,7), (4,7), (5,8)}, {(1,-5), (-1,6), (1,5), (6,-3)}, {(3,-2), (5,-6), (7,7), (8,8)}

Back

The relation {(1,-5), (-1,6), (1,5), (6,-3)} is NOT a function because the input 1 has two outputs (-5 and 5).

Front

What are the x-values in a relation called?

Back

The x-values are called the domain.