1. MS Algebra A-F-IF-5 – Ch. 5.2 Functions as Graphs
Mr. Deyo
Represent Functions as a Graph with a Domain and its Corresponding Range

2. Title: 5.2 Functions as Graphs
Date:
Learning Target
By the end of the period, I will represent a function as a graph with a domain { x } and a range { f(x) }.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
Teacher Note: Graph paper helpful for this lesson.

3. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.2 Pg ) Section ______
TxtBk. Prob.# 3, 5, Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

4. Storm Check (Think, Write, Discuss, Report) Questions on which to ponder and answer:
How are the two images similar?
How are they different?
How can these two images be related to math?
IMAGE 1
IMAGE 2

5. Daily Warm-Up Exercises
For use with pages xxx–xxx
Make a table for f(x) = 2x + 3 with domain 0, 3, 6, and 9.
Write a rule for the function.
Input x
Output y 1 2 7 4 13 9 28 x
f(x)

6. Daily Warm-Up Exercises
For use with pages xxx–xxx
ANSWER
Make a table for f(x) = 2x + 3 with domain 0, 3, 6, and 9.
Write a rule for the function.
y = 3x + 1
Input x
Output y 1 2 7 4 13 9 28 x
f(x) 3 9 6 15 21

7. Vocabulary Function Domain Range Independent Variable (x)
Dependent Variable f(x) or y

8. Vocabulary Acquisition
Friendly Definition
Sketch
Wordwork
Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
DAY 1
Use Visuals
Introduce the word
Friendly Definition
Physical Representation
Use Cognates
Write friendly definition
Word List
Vocabulary Acquisition
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
DAY 5
1. Review the word
Friendly definition
Physical Representation
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing

9. Rule  Function Machine
Notes: x
f(x)
Rule 
Function
Machine

10. Problem A
Make a table of Ordered Pairs and Graph the function.
y = -4x + 2
domain:
-1, 0, 1, 2 x y

11. Problem A
Make a table of Ordered Pairs and Graph the function.
y = -4x + 2
ANSWER
domain:
-1, 0, 1, 2 x y -1 6 2 1 -2 -6

12. Problem B
Make a table of Ordered Pairs and Graph the function.
y = 2x - 1
domain:
-3, -1, 2, 5 x y

13. Problem B
Make a table of Ordered Pairs and Graph the function.
y = 2x - 1
ANSWER
domain:
-3, -1, 2, 5 x y -3 -7 -1 2 3 5 9

14. Vertical Line Test
Notes:
The vertical line test is a test to graphically determine if a relation is a function.
To use the vertical line test, draw vertical lines at any point throughout your graph. If the graph intersects the vertical line more than once at any given value of x, the graph is NOT a function. However, if the graph intersects the vertical line no more than once at any given point, it is a function.

15. Storm Check (Think, Write, Discuss, Report)
How does a relation qualify as a function?
A relation qualifies as a function when _______
__________________________________________.
Explain the Vertical Line Test in your own words:
The Vertical Line Test _________________________
___________________________________________

16. Title: 5.2 Functions as Graphs
Date:
Learning Target
By the end of the period, I will represent a function as a graph with a domain { x } and a range { f(x) }.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
Teacher Note: Graph paper helpful for this lesson.

17. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.2 Pg ) Section ______
TxtBk. Prob.# 3, 5, Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

18. Determine whether the graphs represent functions. b. a.
ALL CLASS
Determine whether a graph represents a function
Determine whether the graphs represent functions. b. a. 18

19. ALL CLASS
Determine whether a graph represents a function
ANSWER
Determine whether the graphs represent functions. b. a.
You can draw a vertical line through the points (-1, 1) and (-1, 3). The graph does not represent a function.
No vertical line can be drawn through more than one point. The graph represents a function. 19

20. x Rule? y domain: range: Determine if the graph represents a function.
Problem A
Write a function rule for a graph
Determine if the graph represents a function.
If so, write a rule for the function
identify the domain and the range of the function. x
Rule? y
domain:
range:

21. y = -x-2 YES y = -x-2 x Rule? y -4 1 -3 -2 -1 domain: -4, -3, -2, -1
Problem A
Write a function rule for a graph
ANSWER
YES
Determine if the graph represents a function.
If so, write a rule for the function
identify the domain and the range of the function.
y = -x-2 x
Rule? y -4 1 -3 -2 -1
y = -x-2
domain: -4, -3, -2, -1
range: 1, 0, -1, -2

22. x Rule? y domain: range: Determine if the graph represents a function.
Problem B
Write a function rule for a graph
Determine if the graph represents a function.
If so, write a rule for the function
identify the domain and the range of the function. x
Rule? y
domain:
range:

23. y = x-1 YES y = x-1 x Rule? y -1 1 2 3 4 domain: 0, 1, 2, 3, 4
Problem B
Write a function rule for a graph
ANSWER
YES
Determine if the graph represents a function.
If so, write a rule for the function
identify the domain and the range of the function.
y = x-1 x
Rule? y -1 1 2 3 4
y = x-1
domain: 0, 1, 2, 3, 4
range: -1, 0, 1, 2, 3

24. ALL CLASS
Determine whether the graph represents a function. If so, write a rule for the function and identify the domain and the range of the function.

25. ALL CLASS
ANSWER
Determine whether the graph represents a function. If so, write a rule for the function and identify the domain and the range of the function.
NOT a function!

26. Vocabulary Function Domain Range Independent Variable (x)
Dependent Variable f(x) or y

27. Title: 5.2 Functions as Graphs
Date:
Learning Target
By the end of the period, I will represent a function as a graph with a domain { x } and a range { f(x) }.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
Teacher Note: Graph paper helpful for this lesson.

28. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.2 Pg ) Section ______
TxtBk. Prob.# 3, 5, Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

29. x y Graph the function y = 2x - 3 Ticket OUT.
(Make a table with the domain: -2, -1, 0, 1, 2) x y
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you.

30. x y -2 -7 -1 -5 -3 1 2 Graph the function y = 2x - 3 Ticket OUT.
ANSWER
(Make a table with the domain: -2, -1, 0, 1, 2) x y -2 -7 -1 -5 -3 1 2
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you.