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Agenda

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Title: Agenda


1
Agenda Lesson 4 3 Function Rules, Tables and
Graphs
Warm up/Attendance Warm Up Review Notes
Function Rules Practice Review
Homework Page 191 Problems 40 to 45 all
2
Warm Up
Find the domain and range of each relation.
Determine if each relation is a function, using a
mapping diagram
1. (2, 3), (2, 5), (2, 6), (2, 4)
2. (3, 2), (5, 2), (6, 2), (4, 2)
3 (3, 3), (5, 5), (6, 6), (4, 4)
Homework Page 191 Problems 40 to 45 all
3
Function Rule an equation that describes a
function
Domain is the set of input values
Range is the set of output values
4
x 6
x 4
x 2
y 10
y 16
y 22
Input Output
x y



6 22
5
Input Output
x y



6
Function Notation a function that uses f(x) for
the output.
Example y 3x 2 becomes f(x) 3x 2
f(x) is pronounced f of x or f is a function
of x
The notation g(x) and h(x) also indicate
functions of x
Input values are called the independent variables
Output values are called the dependent variables
7
Evaluating a function rule
Evaluate f(x) 3x 10 for x 6
f(x) 3x 10
f(6) 3(6) 10
f(6) 18 10
f(6) 28
8
Evaluating a function rule
Evaluate the function rule f(a) 3a 5 to find
the range of the function for the domain -3, 1,
4
9
Application
Suppose your group recorded a CD, now you want to
copy and sell it. One company charges 250 plus
3 per CD. The total cost P(c) depends on the
number of CDs burned. P(c) 250 3c
C P(c) 250 3c (c, P(c))
100 250 3(100) 550 (100, 550)
200 250 3(200) 850 (200, 850)
300 250 3(300) 1150 (300, 1150)
500 250 3(500) 1750 (500, 1750)
10
Class work Please do now Page 190 Problems 2 to
18 even
For problems 10 to 16 use the domain -1, 0, 1
to make a table only
Homework Page 191 Problems 40 to 45 all
11
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12
Agenda Lesson 4 3 Function Rules, Tables and
Graphs Day 2
Warm up/Attendance Warm Up Review Notes
Function Rules Practice Review
Homework Page 191 Problems 47 to 52 all
13
Warm Up
Find the range for the given f(x) using the
domain -1, 1, 3
1. f(x) 2x 4
2. f(x) 5 3x
Homework Page 191 Problems 47 to 52 all
14
Graphing Functions
Graph the function y x 1. Find the domain
and range.
x y





Domain All real numbers
Range y y gt 1
15
Identify Functions
Find the domain for each relation determine if
the relation is a function.
1. y 3x 2
3. x y2
16
Class work Please do now Page 191 Problems 20
to 36 even
Homework Page 191 Problems 47 to 52 all
17
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