Download presentation

Presentation is loading. Please wait.

Published byJesus Martinez Modified over 4 years ago

1
Functions and Relations Objective: To find values of, graph, and determine the domain and range of relations as well as determine which relations are functions.

2
by Gavin McGerald2 Relations A relation is any set of ordered pairs. The ordered pairs are made up of a domain (typically x) which is mapped to a range (typically y or f(x)).

3
by Gavin McGerald3 What is a mapping? Domain -2 3 5 Range 0 2 4 7 In this relation {(-2, 2), (3, 0), (3, 7), (5, 0), (5, 2), (5, 4)} the domain {-2, 3, 5} is mapped to the range {0, 2, 4, 7}

4
by Gavin McGerald4 What is a function? A function is a relation where each element of the domain is paired with exactly one element of the range.

5
by Gavin McGerald5 Relations that are: Functions {(2,3), (3,1), (1,1)} 23 14 0 Not Functions {(3,2), (1,3), (1,1)} 23 14 0 y x y x

6
by Gavin McGerald6 How can you tell if a graph of a relation is a function? The vertical line test. A relation is a function if and only if no vertical line intersects its graph more than once.

7
by Gavin McGerald7 Terminology f: x 3x is read the function f that assigns x to the number 3x Function notation f(x) function of x or f of x

8
by Gavin McGerald8 Try These! g: x 2x – 3 1.g(3) 2.g(½) 3.g(-3) 4.g(h + 1) 5.g(x + ½) Solutions 2(3) – 3 = 3 2(½) – 3 = -2 2(-3) – 3 = -9 2(h + 1) – 3 = 2h – 1 2(x + ½) – 3 = 2x – 2

9
by Gavin McGerald9 Try A Few More! Determine if each relation is a function. 1.{(2, 3), (-1, 0), (1, 3), (0, 2)} 2. 3. 4. y = 3x – 2 5. y 2 = x y x y x

10
by Gavin McGerald10 Solutions 1.Yes 2.Yes 3.No, vertical line test 4.Yes, its an equation for a line and thus a vertical line will only pass through it once. 5.No, If x = 4 y could equal 2 or - 2

Similar presentations

Presentation is loading. Please wait....

OK

2.3) Functions, Rules, Tables and Graphs

2.3) Functions, Rules, Tables and Graphs

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google