Name______Number______

Lesson 25 Functions

Measure your partners head in centimeter; be sure to round up the nearest centimeter.

Hat Size / / / / / / / / / / / / /
Centimeters / 52 / 53 / 54 / 55 / 56 / 57 / 58 / 59 / 60 / 61 / 62 / 63 / 64
X-Small / Small / Medium / Large / X-Large / XX-Large

1) According to you head measurement, what is your hat size?

2) What is the input for determining someone’s hat size?

3) What are the outputs?

With your partner discuss and pair each input with one output. For example (52 cm, X-Small)

Name______Date ______

CC Algebra ILesson 25-FunctionsNumber____ Ms. Socci

Start Thinking

Match each action with the Subject it belongs to by drawing an arrow from the action to the subject.

Focusing on spelling, grammar, writing, and poetry
Solving equations and inequalities
Translating English words to Spanish
Painting a picture
Playing basket ball
Creating an experiment / Science
Math
Spanish
Gym
English
Art

Match each action with the Subject it belongs to by drawing an arrow from the action to the subject.

Apples
Grapes
Bananas
Plums / Red
Purple
Yellow
Green

Explanation: Look at the relation examples above, compare and contrast the two examples.

______

______

______

Develop:

Decide which of the two examples is a function, justify your answer.

______

______

Vocabulary

Relations:

Function:

Vertical Line Test:

Examples

**Remember: in a function, x values can never, ever repeat!!

Example 1: Determine if the following mappings are functions. Explain why or why not.

1)2)

Example 2: Determine if the following ordered pairs are functions. Explain why or why not.

3. {(0,3) (1,8) (1,5)} 4. {(0,2) (1, 2) (3,2)}

5. 6.

x / y
3 / 0
1 / 5
3 / 7
x / y
-2 / 1
3 / 1
0 / 2

Example 3: How can you tell if a graph is a function?

Vocabulary

Domain:

Range:

Independent:

Dependent:

Examples

{(-1, 7), (2, 5), (7, 5), (1, 4)}

  1. Workwithapartner.Functionscanbedescribedinmanyways.
  2. byanequation
  3. byaninput-outputtable
  4. usingwords
  5. byagraph
  6. asasetoforderedpairs

a.Explainwhythegraphshownrepresentsafunction.

b. Describethefunctionintwootherways.

2. Workwithapartner.Determinewhethereachrelationrepresentsafunction.Supportyouranswer.

a.

b.

3. Which relation is not a function?

1) /
2) /
3) /
4) /

4. Which relation represents a function?

1) /
2) /
3) /
4) /

Name:

Exit

In the accompanying diagram, use arrows to represent a function and explain why it is a function.

Name:

Exit

In the accompanying diagram, use arrows to represent a function and explain why it is a function.