By: Jon Boscan Sean Boyles Ethan Cieply. SWBAT perform operations with functions including power...
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Transcript of By: Jon Boscan Sean Boyles Ethan Cieply. SWBAT perform operations with functions including power...
![Page 1: By: Jon Boscan Sean Boyles Ethan Cieply. SWBAT perform operations with functions including power functions.](https://reader035.fdocuments.us/reader035/viewer/2022070409/56649e755503460f94b75973/html5/thumbnails/1.jpg)
7.3 Power Functions and Function
OperationsBy: Jon Boscan
Sean BoylesEthan Cieply
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SWBAT perform operations with functions including power functions
Power Functions and Function Operations
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To solve real life problems, such as finding the height of a dinosaur!
Why do I need this?
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Power Function- is a common type of function which has the form y=ax^b is a linear function when b=1 a quadratic function when b=2 and the cubic function when b=3.
Vocabulary
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ADDITION SUBTRACTION MULTIPLICATION DIVISION
The Operations of Functions
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Let F and G be any two functions. A new function h, can be defined by performing any of the four basic operations. (addition, Subtractions, Multiplication, and Division.)
Example f(x)=2x, g(x) = x+1
Operations of Functions (cont.)
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Operation of Addition The example is F(x)=2x,g(x)=x+1 Definition H(x)=f(x)+g(x) Equal H(x)=2x+(x+1)=3x+1
Operations of Addition
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Operation for subtraction h(x)=f(x)-g(x) Definition is H(x)=f(x)-g(x) Example is f(x)=2x,g(x)=x+1 Would equal h(x)=2x-(x+1)=x-1
Operation of Subtraction
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Example is f(x)=2x,g(x)=x+1 Multiplication =h(x)=f(x) times g(x) H(x)= (2x)(x+1)=
Operation of Multiplication
xx 22 2
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Operation Of Division H(x)=
H(x)=
)(
)(
xg
xf
)1(
2
xx
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F(x)=
g(x)=
F(x)+g(x) =
=
Addition Example
11
)6(2 xx
2/144 xx
2/144 xx
xx 66 2/1
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Subtraction Example
2/188 xx x2 )6( x 2/188 xx
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F(x) times g(x)=
Multiplication example
xx 62 x12
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Division Example
)(
)(
xg
xf
3
1
6
2
x
x