Download presentation

Presentation is loading. Please wait.

Published byClifton Louch Modified over 2 years ago

1
Relations and Functions 9.2 Relations 9.5 Functions

2
F E LineSlopeY-interceptSI Y=mx+b SF Ax + By=C E F You may count the slope or Pick two points and use calculator

3
Ex 1 Find the distance between the points P(2, 2) and Q (4, -6). Work inside parentheses Do powers before doing the addition!!!!!! Be careful Of Signs!!! (neg) 2 = POS.

5
Ex 5 Find the midpoint whose endpoints are (1, -2) and (-17, 16)

6
Ex 8 M(-8, 7) is the midpoint of RS. If S has a coordinates (-6, 8), find the coordinates of R. R (x 1, y 1 ) S (-6, 8) M(-8, 7)

7
Topics Domain Range Mapping Inverse of a Relation Functions (relation/graphs) Function Notation Evaluate Function

8
Relations (sets of ordered pairs) Ways to display a relation List the set of ordered pairs Graphing Table Mapping

9
XY 22 57 4 96 Table Mapping 2 5 7 -1 4 9 6 Graphing 2 5 7 -1 4 9 6 2 5 7 -1 4 9 6 2 5 7 -1 4 9 6 2 5 7 -1 4 9 6

10
Domain Range The domain of a relation is the set of all the first coordinates from the ordered pairs. The x values The Range is the set of all the second coordinates from the ordered pairs. The y values A set of ordered pairs {(2,-2), (-2,3), (5,7), (4,8)} Domain { 2, -2, 5, 4} Range {-2, 3, 7, 8} Ordered pairs in parentheses Sets denoted by brackets

11
Ex 1 List the ordered pairs, domain, range, and inverse XY 02 16 -5-2 123 A set of ordered pairs {(0,2), (1,6), (-5,-2), (12,3)} Domain { 0, 1, -5, 12} Range {2, 6, -2, 3} Inverse {(2,0), (6,1), (-2, -5), (3, 12)} What is domain? X-values What is Range? y-values Inverse---switch x and y

12
Ex 2 List the ordered pairs, domain, range, and inverse XY 8-3 49 11 -137 A set of ordered pairs {(8,-3), (4,9), (1,1), (-13,7)} Domain { 8, 4, 1, -13} Range {-3, 9, 1, 7} Inverse {(-3,8), (9,4), (1,1), (7,-13)} What is domain? X-values What is Range? y-values Inverse---switch x and y

13
Definition of a function Function is a special relation where each “x” is paired with exactly one “y” {(2,3) (4,5) (2,8)} {(5,8), (2, 9), (3,9)} Another way to say it X’s are girls y’s are boys Girls can’t cheat on a boy but a boy can cheat on a girl Not a function Yes, a function Boys can cheat

14
Examples 3-6 Which are functions? #3 {(-9,4) (2,6) (3,8), (3,9)} #4 {(4,6), (12, 9), (2,3), (4,6)} #5 {(1,3) (14,15) (12,8), (14,5)} #6 {(-5,8), (7, 8), (3,9)} NO YES NO YES

15
Vertical Line Test-- Can’t touch line more than once or not a function Not a function Yes! It’s a function Not a function

16
Examples 7-10 YES NO YES # 9

17
Function Notation y=2x + 6 F(x) =2x + 6 Read “f of x” Represents the value in the range for that particular value of x F(3) is the function value for f for x=3. Plug the 3 in for x F(3) = 2(3) + 6 F(3)= 6 + 6 = 12 Can write it as (3,12)

18
Ex 10-12

Similar presentations

OK

Chapter 2 Section 3. Introduction to Functions Goal:Find domain and range, determine if it’s a function, use function notation and evaluate. Definition.

Chapter 2 Section 3. Introduction to Functions Goal:Find domain and range, determine if it’s a function, use function notation and evaluate. Definition.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on data collection methods for quantitative research Ppt on world population day 2012 Download ppt on control and coordination of class x Ppt on id ego superego video Ppt on operation research in linear programming Mems display ppt online Complete ppt on cybercrime Gastrointestinal anatomy and physiology ppt on cells Ppt on mentoring and coaching Ppt on network security issues