5.1 Identify Functions p. 253-260 in WB

5.1 Identify Functions p. 253-260 in WB

By Laura Smyczek

When two mathematical values are related in some way, you have a mathematical relation.

Relations can be represented in many ways:​

​ordered pairs, table, mapping, graph

​Relation

A relation is any set of ordered pairs.

​

​ x​ y

​input output

​

independent dependent

variable ​ variable

​

domain range​

​These words are synonyms.

A function is a specific type of relation that assigns exactly one output to each input.

Some text here about the topic of discussion

Fill in the Blanks

This is a function because each value in the input is paired with exactly

output value

Fill in the Blanks

This is not a function because 2 in the input is paired with two output values, 1 and

.

​

The mapping diagram on the right is not a function because it shows the input 1 is mapped to both 3 and 5.

Because an input value is mapped to more than one output, the relation is not a function.​

​

​Some text here about the topic of discussion.

Poll

• Function because each input is paired with exactly one output.

• Not a function

• Not a function because the input of 1 is paired with two outputs, 1 and -1.

Multiple Choice

• Function because each input is paired with exactly one output.

• Not a function because the inputs of 6 and 8 are both paired to -11

• Not a function because the input of 4 is paired with two outputs, -7 and -5.

This is a function because each member of the input corresponds to exactly one member of the output.

​

​

This is not a function because members of the input correspond to more than one member of the output.

​

​Some text here about the topic of discussion.

Poll

Be ready to explain your choice!

• Function

• not a function

Multiple Choice

Be ready to explain your choice.

• Function

• Not a Function

The graph is a function because the vertical line test shows that it always intersects the graph at exactly one point.

This means that each input corresponds to exactly one output.​

​

​Some text here about the topic of discussion.

The graph is not a function because the vertical line test shows that it intersects the graph at more than one point.

This means that an input corresponds to more than one output.​

​

​Some text here about the topic of discussion.

The graph is a function because the vertical line test shows that it always intersects the graph at exactly one point. This means that each input corresponds to exactly one output.

​

​Some text here about the topic of discussion.

Poll

Be ready to explain your choice.

• Function

• Not a function

Multiple Choice

Be ready to explain your choice.

• Function

• Not a function

Poll

Be ready to explain your choice.

• function

• not a function

Multiple Choice

Be ready to explain your choice.

• function

• not a function