Download presentation

Presentation is loading. Please wait.

Published byAlan Richard Modified over 2 years ago

1
Warm up It’s Hat Day at the Braves game and every child 10 years old and younger gets a team Braves hat at Gate 7. The policies at the game are very strict. ▫ Every child entering Gate 7 must get a hat. ▫ Every child entering Gate 7 must wear the hat. ▫ Only children age 10 or younger can enter Gate 7. ▫ No child shall wear a different hat than the one given to them at the gate. 1. What might be implied if all the rules were followed but there were still children 10 years old and younger in the ballpark without hats? Those kids may NOT have entered through Gate 7.

2
Coordinate Algebra UNIT QUESTION: How can we use real- world situations to construct and compare linear and exponential models and solve problems? Standards: MCC9-12.A.REI.10, 11, F.IF.1-7, 9, F.BF.1-3, F.LE.1-3, 5 Today’s Question: What is a function, and how is function notation used to evaluate functions? Standard: MCC9-12.F.IF.1 and 2

3
Coordinate Algebra - IN Standards: MCC9-12.F.IF.1 Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x). MCC9-12.F.IF.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

4
Functions vs Relations

5
Relation Any set of input that has an output

6
Function A relation where EACH input has exactly ONE output Each element from the domain is paired with one and only one element from the range

7
Domain x – coordinates Independent variable Input

8
Range y – coordinates Dependent variable Output

9
Revisit the warm up: It’s Hat Day at the Braves game and every child 10 years old and younger gets a team Braves hat at Gate 7. The policies at the game are very strict. ▫ Every child entering Gate 7 must get a hat. ▫ Every child entering Gate 7 must wear the hat. ▫ Only children age 10 or younger can enter Gate 7. ▫ No child shall wear a different hat than the one given to them at the gate. 1.What is the gate’s input? 2.What is the gate’s output? Going in: Children 10 & younger without hats Coming out of Gate 7: Children 10 & younger WITH hats

10
How do I know it’s a function? Look at the input and output table – Each input must have exactly one output. Look at the Graph – The Vertical Line test: NO vertical line can pass through two or more points on the graph

11
Example 1: {(3, 2), (4, 3), (5, 4), (6, 5)} function

12
Example 2: relation

13
Example 3: relation

14
Example 4: ( x, y) = (student’s name, shirt color) function

15
Example 5: Red Graph relation

16
Example 6 function Jacob Angela Nick Greg Tayla Trevor Honda Toyota Ford

17
Example 7 function A person’s cell phone number versus their name.

18
Function Notation

19
Function form of an equation A way to name a function f(x) is a fancy way of writing “y” in an equation. Pronounced “f of x”

20
Evaluating Functions

21
8. Evaluating a function f(x) = 2x – 3 when x = -2 f(-2) = - 4 – 3 f(-2) = - 7 Tell me what you get when x is -2. f(-2) = 2(-2) – 3

22
9. Evaluating a function f(x) = 32(2) x when x = 3 f(3) = 256 Tell me what you get when x is 3. f(3) = 32(2) 3

23
10. Evaluating a function f(x) = x 2 – 2x + 3 find f(-3) f(-3) = 9 + 6 + 3 f(-3) = 18 Tell me what you get when x is -3. f(-3) = (-3) 2 – 2(-3) + 3

24
11. Evaluating a function f(x) = 3 x + 1 find f(3) f(3) = 28 Tell me what you get when x is 3. f(3) = 3 3 + 1

25
Domain and Range Only list repeats once Put in order from least to greatest

26
12. What are the Domain and Range? Domain: Range: {} {1, 2, 3, 4, 5, 6} {} {1, 3, 6, 10, 15, 21}

27
13. What are the Domain and Range? Domain: Range: {0, 1, 2, 3, 4} {} {1, 2, 4, 8, 16}

28
14. What are the Domain and Range? Domain: Range: All Reals

29
15. What are the Domain and Range? Domain: Range: x ≥ -1 All Reals

30
Homework/Classwork Function Practice Worksheet

Similar presentations

OK

Relations Relation: a set of ordered pairs Domain: the set of x-coordinates, independent Range: the set of y-coordinates, dependent When writing the domain.

Relations Relation: a set of ordered pairs Domain: the set of x-coordinates, independent Range: the set of y-coordinates, dependent When writing the domain.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on cadbury india ltd company Ppt online downloader and converter Ppt on rational numbers for class 7 free download Raster scan and random scan display ppt on tv Ppt on asian continent videos Ppt on beer lambert law examples Ppt on surface water pumps Ppt on power line communication final year project Ppt on carl friedrich gauss contributions Ppt on teachers day in english