relations and functions...3u 1 day 4 relations and functions 2018.notebook 2 february 07, 2018...
TRANSCRIPT
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3U 1 day 4 Relations and Functions 2018.notebook
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Warm Up ... Text Book pg 2
Just sketch
Relations and Functions
Learning Goals define and determine Domain and Range define and determine if a relation is a function
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3U 1 day 4 Relations and Functions 2018.notebook
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Relation a connection between a pair of quantities expressed in
WordsTable of ValuesGraphEquation Mapping DiagramSet of ordered pairs
Function is a relation
each value of the independent variable corresponds with only one value of the dependent variable
(For every x there is only one y)
Every relation is NOT a function.
For a week prior to their physics exam, a group of friends collect data to see whether time spent studying had a correlation with their marks on the exam.
We can describe a relation using:
Words Table of values
Graph
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Equation
Mapping Diagram
Set of ordered pairs
Is this Relation a Function?
How to determine if a relation is function.
Graph Vertical Line Test
Table of Values, Mapping Diagram, Set of Ordered Pairs For each "x" there is only one "y"
Equation What is it? All lines are Functions.All parabolas are Functions.All circles are not Functions.If you don't know what it is graph it on your NSpire
and use the Vertical Line test.
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Function or Not?
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Function
or Not?
Function or Not?
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Domain set of all independent values (the xvalues)
D = { x , x }
D = { x , x } for a list
Range set of all dependent values (the yvalues)
R = { y , y }
State function or not domain and range
y = 2x +5
y = x2 + 5
x2 + y2 = 25
On the Boards...
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On the Boards...
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Seatwork
pg 10 # 1, 2, 4, 6, 7, 9
use TINspire
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Answers
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