1.1 Notes Day 3, Date_____

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1.1 Notes Day 3, Date_____
INTRODUCTION TO FUNCTIONS
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Functions and Their Graphs

• Relation-
• Domain-
• Range-

a set of ordered pairs
A mapping or a pairing (x,y)
X values (x coordinate)
Y values (y coordinate)
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DEFINITIONS

• FUNCTION a relation in which no two ordered
  pairs have the same first coordinate.
• x coordinate cannot repeat!!

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-Vertical Line Test-

• If the vertical line hits the graph in only one
  place, the graph is a function.

5
Vertical line test-
Yes, this is a function.
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Is it a Function?
YES!
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Is it a Function?
NO!
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Function Notation f(x)

• 1) h(x) x 2

1. Graph. (get y alone first)
2. How can we verify that this is a function.
3. State the domain and range.

9
Find the domain and range of each relation.
Identify if the relation is a function.
1)
D(-8, 8 ) R 0, 8) F yes
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Find the domain and range of each relation.
Identify if the relation is a function.
1)
D (-8, 8 ) R 0, 8 ) F yes
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Find the domain and range of each relation.
Identify if the relation is a function.
1)
D (-8, 8 ) R 1.5, 8 ) F yes
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y
Yes or No
D________ R________
-5, 7
x
-3 , 4
Yes or No
y
D________ R________
1 , 8)
x
(-8 , 8)
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Find the domain of the relation.
1)
D (-8, 5 ) U (5, 8)