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Investigation 2A BL 3.notebook
1
September 24, 2012
Sep 114:57 PM
Getting ready for Ch 2 FUNCTIONS and POLYNOMIALSKey Ideas: Enter in BLUE BOOKS A polynomial is the sum of monomials 1.Define Monomial terms degree of a polynomial normal form of a polynomial
identity
X = 0
Function
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HW p90 13 p 94 #9,10,11,&17
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Investigation 2AWhat is a FunctionComposition of functions Inverse function
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Do p97 #27
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p99 #12pa
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Define the function above.
102
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Functions are determined by their behavior
103
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101
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p98 #810,11,13
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Sep 1610:44 PM Sep 1610:52 PM
Warm Up DEFINE FUNCTION (BL BOOKS)
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2.2 GOALS:Getting Precise about functions
Use function notation Decide if two rules define the same functionIMPORTANT: The domain of a function is part of the definition
For every A there is one an only one B. What happens when you go to the soda machine and press the Pepsi button?f(A) = B
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Investigation 2A BL 3.notebook
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Sep 1211:58 AM
Do 1012, 14,16,17,19,23,24
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Domain: a
Target:
Range:
Domain: b
Target:
Range:
Domain: c
Target:
Range:
Domain: d
Target:
Range:
Domain: e
Target:
Range:
Domain: f
Target:
Range:
Domain: g
Target:
Range:
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Investigation 2A BL 3.notebook
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2.3 Algebra with functions
Compose Functions
x f(g(x))
f g read f circle g or f composed with g
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Express C(p) as a composite function
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Do p11 47
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p112 # 2,3,8
p 113 # 11,13, 1719
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HOMEWORK QUIZABSOLUTELY NO TEXT BOOKS OPENED
p81 #2
p 94 # 9
p 98 11e
p108 #16 b
p108 #24 b and d
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Investigation 2A BL 3.notebook
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Sep 1611:53 PM
Warm upWrite down your number and solution
Just give your ending number to your classmate and let them tell you the starting number.
(cube the number)
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Starting Number
After subtracting 10
After squaring
After adding 7
starting number
After subtracting 10
After squaring
After Adding 7
input output input output
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Sep 239:13 AM
Is (x3 + x) a 11 function?Is (x3 x) a 11 function?
x x3 x3 + x x3 x
2 8 10 6
1.5 3.375 4.875 1.875
1 1 2 0
0.5 .125 .625 .375
0 0 0 0
.5 .125 .625 .375
1 1 2 0
6 5 4 3 2 1 0 1 2 3 4 5 6
6
5
4
3
2
1
1
2
3
4
5
6
x
y
3 2 1 0 1 2 3
3
2
1
1
2
3
x
y
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Sep 239:53 AM Sep 1712:21 AM
y = x / 2 + 5To find the inverse orMake a list of the operations Work backwards
Use the definition f(f1(x) = xf(f1(x)) = f1(x) / 2 + 5 = xSolve for f1(x)
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Investigation 2A BL 3.notebook
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12 10 8 6 4 2 0 2 4 6 8 10
8
6
4
2
2
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6
8
10
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x
y
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Sep 1712:46 AM Sep 2310:02 AM
Quiz Tomorrow Investigation 2AUnderstand definition and notation:• function f(x)• inverse function f1(x)• composition of functions f g• one to one• domain• range
Practice sheets for each of the sections on the last few pages of the pdf file for investigation 2AHW p 125 17
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