Is it a function? & Evaluating Functions

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 definition of a relation?

Back

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

Front

What does it mean if a relation is 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

Given the relation {(2,3), (2,4), (5,6)}, is it a function?

Back

No, because the input 2 has two different outputs (3 and 4).

Front

Given the relation {(1,2), (3,4), (5,6)}, is it a function?

Back

Yes, because each input has exactly one output.

Front

What is an example of a function?

Back

An example of a function is the relation {(1,2), (2,3), (3,4)}.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is {(1,2), (1,3), (2,4)}.

Front

How can you determine if a set of ordered pairs is a function?

Back

You can determine if a set of ordered pairs is a function by checking if any x-value is repeated with different y-values.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with an 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 a vertical line crosses the graph more than once, it is not a function.