1. Warm up 8/19 Warm up 1. 5x – 2 when x = 4 4. 2 – t 2 when 3. when x = 16 94 18 48 Evaluate. 2. 3x 2 + 4x – 1 when x = 5

2. Be seated before the bell rings DESK homework Warm-up (in your notes) Quiz – Tuesday 8/12 Agenda: Warmup Note 1.6/1.7 Go over test

3. Notebook Table of content Page 1 1 1) 1-1 Sets of Numbers /1.2 Properties of Numbers 2) 1-3 Square Roots 3) 1-4 Simplify Algebra Expression Glue in notes 2) 1-3 Square Roots 3) 1-4 Simplify Algebra Expression 4) 1.6 Relations/1.7 functions

4. Glue in new learning Targets for Chapter 2

5. 1.6 Relations/1.7 functions https://www.youtube.com/watch?v=JjcaM0UNu1A A relations is :relations (input values, output values) (domain, range) {(2, A), (2, B), (2, C)} A set of order pairs A B C 2 DomainRange Mapping Diagram

6. Not a Function InputOutput Function! InputOutput A relations is a function when: There is only one output for each input x 7859 y 5892 x 3474 y 53882

7. On graphs how do I tell if it’s a functions Vertical line test

8. Is it a function? No! :(

9. Is it a function? From items in a store to their price. Yes!

10. Is it a function? From type of fruit to its color. No! :(

11. Is it a function? From month to number of days that month has. no becuase of February... Mon th (inp ut) 12345678910112 Day s (out put) 3128 or 29 313030 3031 30313031

12. ƒ(x) = 5x + 3 Function can be written like this :

13. n a i n o o t t QWERTYUIOP ASDFGHJKL ZXCVBNM New Word. No! Click to go on. YOU LOST! Click for another go. What is it call ?

14. ƒ(x) = 5x + 3 Function can be written like this : Function notation Output valueInput value

15. Example 1A: Evaluating Functions ƒ(x) = 8 + 4x Substitute each value for x and evaluate. For each function, evaluate ƒ(0), ƒ, and ƒ(–2). ƒ(0) = ƒ(–2) = 8 + 4(0) = 8 + 4(1/2) = 8 + 4(–2) = 8 10 0

16. You try! Example 1a For each function, evaluate ƒ(0), ƒ, and ƒ(–2). ƒ(x) = x 2 – 4x

17. You Try ! Example 1b For each function, evaluate ƒ(0), ƒ, and ƒ(–2). ƒ(x) = –2x + 1

18. Example: Evaluating Functions from graphs ƒ(0) = ƒ = ƒ(–2) = 3 0 4

19. For each function, evaluate 1. f(-2)= f(0) = f(1/2) = 4; 6; 0 f(2)= 3

20. Go backwards Which x gives you outputs of f(x) = 3 x= 2, -1/2, f(x) = 1 x= 3, -1.5,-3.75 f(x) = x= 4 f(x) = 4 x= 0,1.5