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

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.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 5.2 Pg. 260-263 3) Section ______ TxtBk. Prob.# 3, 5, 11-23 Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

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

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)

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

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

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

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

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

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

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

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

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.

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 _________________________ ___________________________________________

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.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 5.2 Pg. 260-263 3) Section ______ TxtBk. Prob.# 3, 5, 11-23 Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

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

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

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:

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

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:

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

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.

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!

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

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.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 5.2 Pg. 260-263 3) Section ______ TxtBk. Prob.# 3, 5, 11-23 Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

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.

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.