Functions: Mappings, Tables, and Coordinate Pairs

Functions: Tables and Mappings

by Lloyd Thomas

​Functions require one input (x) yields one output (y)

​Here we see that the inputs on the left, go to only one output on the right. This is a function. It doesn't matter that 2 inputs can have the same output

​Here we see that an input on the left (C2) has two outputs. This can't happen in a function

​So, we are looking to see if an input (usually "x") has more than one possible answer (usually "y") to determine if we have a function

​Is this a function?

​Function or not?

​

​

​        A                                      B

​

                            C​

​

​

​

Multiple Choice

Does this represent Y as a function of X?

• Yes

• No

Multiple Choice

Does this represent a function?

• Yes

• No

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

Does the mapping represent a function? 

• Yes
• No
• Sometimes

​So, what does this look like as a table?

​We see that for every one "x" value, there is only one "y" value

​This is a function because we see only one ouput for each input

​This is not a function because we see 2 has two different answers (ouputs)

Function or not?​

Function or not?​

​

​

Function or not?​

​

Function or not?​

Multiple Choice

Is this table a function or not a function? 

• Function
• Not a Function

Multiple Choice

Is the relation a function?

• yes, it is a function
• no, it is not a function
• not enough information to determine

Multiple Choice

Does this table represent a function?

• Yes 
• No

Multiple Choice

Does the table represent a function?

• Yes, There are no repeated inputs that have multiple outputs

• No, There are repeated inputs that yield different outputs

Multiple Choice

• Function
• Not a Function

​Based on your knowledge of coordinate pairs (x,y), are the following set of ordered pairs functions?

​Why?

Multiple Choice

Does this relation represent a function?
(1,5), (1,6), (1,7), (1,8), (1,9)

• Yes
• No

Multiple Choice

Which set of values is a function?

• (9,5) (10,5) (9,-5) (10,-5)
• (3,4) (4,-3) (7,4) (3, 8)
• (6,-5) (7, -3) (8, -1) (9, 1)
• (2, -2) (5, 9) (5, -7) (1, 4)

Multiple Choice

Given the points (3, 5) (2, 4) (9, 0)  and  (?, 6). What could replace the ? to create a non-function? 

• 1
• 3
• 4
• 7

Multiple Choice

Which is a function?

• A

• B

• C

• D

Poll

How are you feeling about determining functions graphically, through mapping, by table, and by ordered pairs?

• No Problems

• Good Except for Graphing

• Good Except for Mapping

• Good Except for Tables andor Ordered Pairs

• Not Good on any of them