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

SUPPORT Class Learning Target Title: 5.2 Functions as Graphs Date: SUPPORT Class 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

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

HW # 3 Make a table of Ordered Pairs and Graph the function. y = x + 3 domain: 0, 1, 2, 3, 4, 5 x y

HW # 5 Make a table of Ordered Pairs and Graph the function. y = 2x + 2 Choose an appropriate scale for your graph!! domain: -2, -1, 0, 1, 3, 7 x y

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 _________________________ ___________________________________________

Rule: y = x - 1 The error I see in the graph of the function HW # 11 Rule: y = x - 1 Describe and correct the error in graphing the function with the domain -2, -1, 0, 1, 2 The error I see in the graph of the function y = x – 1 is ____________ _____________________ _____________________. Corrected graph

This graph (is / is not) a function because HW # 13 Determine if the graph represents a function. This graph (is / is not) a function because _________________ __________________________________________ __________________________________________.

This graph (is / is not) a function because HW # 15 Determine if the graph represents a function. This graph (is / is not) a function because _________________ __________________________________________ __________________________________________.

Rule: Write a rule for the function. x Rule? y HW # 17 Write a function rule for a graph Write a rule for the function. Rule: x Rule? y

x y The domain of the function is: _________________ HW # 19 What is the domain of the function represented in the graph? The domain of the function is: _________________ x y Rule?

CHALLENGE! What is the Rule? 1 2 3 4 6 11 HW # 21 Describe the input and the output of the function. Then assign variables to the input and output. Choose an appropriate scale for your graph!! The table shows the height (in inches) of a plant each year since 2004. Years since 2004 1 2 3 Height (inches) 4 6 11 What does the graph look like? CHALLENGE! What is the Rule?

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

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.