Functions

Guided Instruction:

Function

Not a Function

Relations and functions can be represented using a mapping
diagram, a table of values, a set of ordered pairs, or on a graph.

Complete the statement.

1. For each function represented, each element in

the corresponds to only one

element in the

2. For each relation represented that is not a function, circle the element(s) in the domain that correspond to more than one element in the range.

Complete the statements to explain how each representation shows whether the relation is a
function.

The mapping diagram has each element in the

to its corresponding element in the therefore the relation a function.

The graph demonstrates the relation a function because

corresponds to on the graph.

The vertical lines drawn on the graph of a function show whether each 𝑥-value corresponds to exactly one 𝑦-value.

A graph of a relation and a function are shown with three different vertical lines drawn on each.

Wrap-Up: Ticket Out the Door

1.Determine if each relation is a function.