Lesson: Functions and Relations

Lesson: Functions and Relations

Determine if ordered pair , tables , mapping and graphs are functions .

Function Vs Non-Functions

•  $(2,\ \ ),\ (3,_{\ \ }),\ (4,_{\ }\ )$  "A Function"
  

•  $The\ x\ values\ 2\ ,\ 3\ and\ 4$ NOT REPEAT

•  $(-1,\ \ ),(-1,\ \ ),(2,\ \ )$  "Non Functions"
  

•  $The\ x\ values\ \ -1\ ,\ -1\$  REPEAT

Multiple Choice

 $Is\ the\ relation\ a\ function?\ (4,5),(4,-7),(4,2),(4,0),(4,9)\$  

• Yes - X - values Don't REPEAT

• No - X - values REPEAT

Multiple Choice

Is this set of ordered pairs a function or not a function?

• Function

• Not a Function

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

Which set of values is not a function?

• (9,5) (10,5) (4,-5) (8,-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

Which ordered pair could you add to the following list of points to create a function?  (3, 5) (4, 9) (2, 5) 

• (3, 7)
• (4, 1) 
• (1, 9)
• (2, 6)

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

A Function in Mapping: One to One

• Click next to see..

• 10 points to 15

• 20 points to 45

• 30 points to 25

• 40 points to 35

• We call this One to One

• Every x-value points to one y-value

Not A Function in Mapping: One to Many

• Click next to see..

• 3 points to b

• 3 points to c

• 3 is pointing to b and c

• We call this One to Many

• This mapping is not a Function

Multiple Choice

• Function
• Not a Function

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function 

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function

Multiple Choice

Does this represent Y as a function of X?

• Yes

• No

Multiple Choice

Does this represent a function?

• Yes

• No

Multiple Choice

Does this represent Y as a function of X?

• Yes

• No

Multiple Choice

• A

• B

• C

• D

Multiple Choice

Does this table represent a function?

• Yes
• No

Multiple Choice

Is this table a function or not a function? 

• Function
• Not a Function

Multiple Choice

Is this table a function or not a function? 

• Function
• Not a Function

Multiple Choice

Is this table a function or not a function? 

• Function
• Not a Function 

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

Is the relation a function?

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

Multiple Choice

Is this graph a function or not a function? 

• Function 
• Not a Function 

Multiple Choice

Is this graph a function or not a function? 

• Function
• Not a Function

Multiple Choice

Is this graph a function or not a function?

• Function

• Not a Function

Multiple Choice

• Function
• Not a Function

Multiple Choice

Is this a function? 

• Yes
• No