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Domain and Range for math, Slides of Mathematics

Mathematics

Domain and range making youunderstand

Typology: Slides

2022/2023

Uploaded on 07/08/2023

hamza-houssein
hamza-houssein 🇨🇦

1 document

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P11NewDomainRange.notebook
1
September08,2022
Feb69:38AM
Lesson1.1DomainandRange
Averticallinehasequation:x=5.
Listallpossiblevaluesfor"x".
Anotherlinehasequation:y=2x1.
Listallpossiblevaluesfor"x".
Whataboutpossiblevaluesfor"y"?
Anequationis:y=
Listallpossiblevaluesfor"x".
Sep72:12PM
DOMAIN:Thesetofallvaluesforarelation's
independentvariable(
x
).
RANGE:Thesetofallvaluesforarelation's
dependentvariable(
y
).
Wedescribetheseasasetofnumbers{},ormoreoften
using
inequalities
.
Identifythefollowing:
≤≥
<>
NOTE:
All
relationshaveadomainandrange.
(regardlessofwhethertheyarefunctions)
pf2

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P11NewDomainRange.notebook

September 08, 2022

Feb 69:38 AM Lesson 1.1 Domain and Range A vertical line has equation: x = 5. List all possible values for "x". Another line has equation: y = 2x 1. List all possible values for "x".

What about possible values for "y"?

An equation is: y = List all possible values for "x". Sep 72:12 PM DOMAIN: The set of all values for a relation's independent variable ( x ). RANGE: The set of all values for a relation's dependent variable ( y ). We describe these as a set of numbers { }, or more often using inequalities. Identify the following:

NOTE: All relations have a domain and range. (regardless of whether they are functions)

P11NewDomainRange.notebook

September 08, 2022

Sep 72:12 PM

Graph on a number line: a) x (^) ≥ 0 b) x > 0 5 4 3 2 1 0 1 2 3 4 5 c) (^0) ≤ x (^) ≤ 4 d)^0 <^ x^ ≤^4 5 4 3 2 1 0 1 2 3 4 5 5 4 3 2 1 0 1 2 3 4 5

e) Write an inequality to match: Compound inequalities must open the same direction! Sep 73:54 PM Note the difference: x (^) ≥ 0, x (^) ∈ Z x^ ≥ 0, x^ ∈ R 5 4 3 2 1 0 1 2 3 4 5 5 4 3 2 1 0 1 2 3 4 5 Occasionally you may see full set notation: { x | x (^) ≥ 0, x (^) ∈ Z } x (^) ∈ R means " x is an element of real numbers" Now we simply go 2D, with a number line in the horizontal and the vertical.

An "OR" is also possible!