Domain
Range
Is this table/graph a function?
Is this scenario a function?
Piecewise Functions
100

Identify the domain.

-2 ≤ x ≤ 2    

OR greater than or equal to -2 and less than or equal to 2

100

Identify the range.

0 ≤ y ≤ 4

greater than or equal to 0 and less than or equal to 4

100

Function? Yes or no? 

NO. It fails the vertical line test 

100

Student to ID number

Each student (input) only gets assigned one ID number (output)

IT'S A FUNCTION.

100

Find the value of C(40) and what does it represent?


C(40) = 15   if you bought 40 shirts the cost per shirt would be $15


200

Identify the domain. 


greater than or equal to - 4 and less than or equal to 4

200

Identify the range. 


greater than or equal to - 5 and less than or equal to 5

200

Function? YES OR NO? 


Yes. every input is assigned exactly one output

200

The number of days in a month represents the domain and the months represent the range



Not a function 

200

Write the function rules for the following piecewise function



C(w) =     46          0 < w <= 1

                48         1 < w <= 2

                50         2 < w <= 3

                52         3 < w <= 4

                54         4 <  w  <= 5

                56         5 < w  <= 6

300

Identify the domain. 


the domain is greater than or equal to - 1 and less than 3

300

Identify the range


greater than - 5 and less than or equal to 3

300

EXPLAIN. Why is this graph a function?

It passes the VERTICAL LINE TEST

300

Person's last name to a Person's first name

There can be more than one person with the last name Lopez (input) that have different first names!

(Mr. and Ms. Lopez, Isai Lopez & Cristina Lopez) 

NOT A FUNCTION

300

State the domain



Domain is greater than 0 and less than or equal to 6

400

Identify the domain. 

greater than or equal to - 3 and less than or equal to 3

400

Identify the range. 

- 4 <= y <= 3

range is greater than or equal to -4 and less than or equal to 3

400

Function or not?

 

NO!

The input of 20 has two different outputs (40 and 42). 

The input of 22 has two different outputs (41 and 42). 

400

The number of apples bought to the amount paid in the store

If two people buy two apples (input) each, you should expect that both person's pay the same amount (output)

IT'S A FUNCTION

400

State the range


Range is 1.25, 2.5, 4, 5.75, 7.75, 10

500

Identify the domain.


the domain is greater than - 3 and less than or equal to 1

500

Identify the range.

the range is greater than or equal to - 4 and less than or equal to 0

500

On your board, create an x-y table that is NOT a function. 


Answers vary

500

A person to the length of their shadow when standing in the sun

The person's (input) shadow cannot be two different measurements if only the sun is hitting it

YES IT'S A FUNCTION

500

How many seconds are there in a year? "Trick Question"

12 of them. 

January 2nd, February 2nd, March 2nd, April 2nd, May 2nd, etc...

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