Identifying Functions: Maps and Tables

Does this mapping diagram represent a function?

• Yes it is a function

• No it is not a function

Does this mapping diagram represent a function?

• Yes it is a function

• No it is not a function

Answer explanation

There is more than one arrow coming from -35, so it is not a function. The input -35 has two outputs.

Does this table represent a function?

• Yes it is a function

• No it is not a function

Answer explanation

Each x value goes to one y value.

Does the table represent a function?

• Yes it is a function

• No it is not a function

Answer explanation

The x-values 3,2 and 1 repeat so it is not a function.

Does the table represent a function?

• Yes it is a function.

• No it is not a function.

What is the definition of function?

• Has inputs and outputs.

• Every input has only ONE output.

• x-values and y-values

• Inputs have different outputs every time

All of the y-values or outputs are also called....

• Domain

• Range

• Relation

• Function

All of the x-values or inputs are also called......

• Domain

• Range

• Relation

• Function

A proportional relationship can be written in as an equation as.....

• y = k + x

• y = kx

• y = k - x

• y = k/x

Write an equation for the table:

• $y=\frac{1}{3}x$

• $y=\frac{1}{2}x$

• $y=3x$