1.2(a) Notes: Basics of Functions & Graphs Date: 1.2(a) Notes: Basics of Functions & Graphs   Lesson Objective: Find the domain and range of functions, and use notation the express the domain and range. CCSS: F-IF Analyze functions using different representations. You will need: something to write with ;) Real-World App: Comparing apples to oranges.

Lesson 1: Domain and Range When you think of the word domain, what first comes to mind?

Lesson 1: Domain and Range When you think of the word domain, what first comes to mind? 1. a field of action, thought, influence, etc.: the domain of science.

Lesson 1: Domain and Range When you think of the word domain, what first comes to mind? 1. a field of action, thought, influence, etc.: the domain of science. 2. the territory governed by a single ruler or government; realm.

Lesson 1: Domain and Range When you think of the word domain, what first comes to mind? 1. a field of action, thought, influence, etc.: the domain of science. 2. the territory governed by a single ruler or government; realm. 3. a region characterized by a specific feature, type of growth or wildlife, etc.: We entered the domain of the pine trees.

Lesson 1: Domain and Range Domain: The set of all first components of a set of ordered pairs in a relation.

Lesson 1: Domain and Range Domain: The set of all first components of a set of ordered pairs in a relation. Range: The set of all second components of a set of ordered pairs in a relation.

Lesson 1: Domain and Range Find the domain and range of the relation: {(0, 9.1), (10, 6.7), (20, 10.7), (30, 13.2), (40, 21.2)} Domain: Range:

Lesson 2: Domain and Range of Graphs Use the graph to identify the domain and range using notation. A. Domain: Range:

Lesson 2: Domain and Range of Graphs Use the graph to identify the domain and range using notation. B. Domain: Range:

Lesson 3: Functions What makes a set of items a function?

Lesson 3: Functions What makes a set of items a function? Function: Each element in the domain corre-sponds to exactly one element in the range.

Lesson 3: Functions Examples:

Lesson 3: Functions Examples: You can have more than one item valued at the same price, but you cannot have one item valued at two different prices.

Lesson 3: Functions Examples: You can have more than one item valued at the same price, but you cannot have one item valued at two different prices. Graph the following relationships:   Item Price Corn  0.50  Pear 0.20  Potato 0.25  Banana  0.20 Item Price Apple  0.25  Orange 0.30  Tomato 0.35  0.40

Lesson 3: Functions Examples: You cannot have 2 answers for the same multiple choice problem.

Lesson 3: Functions Examples: You cannot have 2 answers for the same multiple choice problem. You cannot have 2 “y’s” for the same “x”. x = 1y (from A Function Song)

Lesson 4: Vertical Line Test Use the vertical line test to identify graphs in which y is a function of x. A. B.

Lesson 5: To Be or Not to Be Determine whether the relation is a function. {(1, 2), (3, 4), (5, 6), (5, 8)} {(1, 2), (3, 4), (6, 5), (8, 5)}  

1.2(a): Do I Get It? Yes or No 1. Find the domain and range of the relation. Deter-mine whether the relation is a function. {(1, 2), (3, 4), (6, 5), (8, 5)} 2. Use the graph to the right to identify the domain and range. Use the vertical line test to identify the graphs below in which y is a function of x. A. B.

Yes, a function because no elements in the range have the same domain. 1.2(a): Do I Get It? Yes or No Answers: 1. Domain: {1, 3, 6, 8}; Range: {2, 4, 5} Yes, a function because no elements in the range have the same domain. 2. Domain: {x|-3 < x < 3} or [-3,3]; Range: {y|-3 < y < 1} or [-3,1] 3. A. Yes, function; B. No, not a function