1.2 F15 O’Brien
CA 6th ed HLR
1.2: Introduction to Relations and Functions
I.
Set-Builder Notation and Interval Notation
A.
B.
II.
B.
B.
C.
Relation
1.
Definition
2.
Domain
3.
Range
Ways of Representing a Relation
1.
Mapping or Diagram
2.
Set of Ordered Pairs
3.
Table of xy-values
4.
Equation
5.
Graph
Definition
Independent Variable (Input)
Dependent Variable (Output)
Vertical Line Test
Name of the Function
Defining Expression
Finding Function Values / Evaluating a Function Examples 7, 8, & 9
Graphing a Function by Hand
A.
Point Plotting
B.
Linear (1st degree) Function [Oblique Line] Example 3
1.
x-intercept (a, 0)
2.
y-intercept (0, b)
3.
Third Point
You choose an x or y value. Plug it into the equation. Solve for the other variable.
C.
Quadratic (2nd degree) Function [Parabola] Example 4
1.
Find the vertex of the parabola (x v , y v ) :
b
y of vertex: yv = f(xv)
2a
Make a t-chart with 5 points:
Put the vertex in the center of the t-chart, then find 2 points to the left of the vertex and
2 points to the right of the vertex.
x of vertex:
2.
VI.
 ,  
Function Notation
A.
B.
C.
V.
Square Bracket
Open Interval
Disjoint Interval
All Real Numbers
Functions Examples 5 & 6
A.
IV.
2.
4.
6.
8.
Relations, Domain, Range
A.
III.
Set-Builder Notation Example 1
Interval Notation Example 2
1.
Parenthesis
3.
Infinity Symbol
5.
Closed Interval
7.
Union Symbol
xv  
How to Generate a Table on a Graphing Calculator Example 10
A.
B.
Automatically: Table Setup TblStart=0 Table =1 Indpnt: Auto Depend: Auto
Manually: Table Setup TblStart=0 Table =1 Indpnt: Ask Depend: Auto
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CA 6th ed HLR
1.2 F15 O’Brien
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CA 6th ed HLR
1.2 F15 O’Brien
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