7.3 Power Functions and Function
OperationsBy: Jon Boscan
Sean BoylesEthan Cieply
SWBAT perform operations with functions including power functions
Power Functions and Function Operations
To solve real life problems, such as finding the height of a dinosaur!
Why do I need this?
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
ADDITION SUBTRACTION MULTIPLICATION DIVISION
The Operations of Functions
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.)
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
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
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
Operation Of Division H(x)=
H(x)=
)(
)(
xg
xf
)1(
2
xx
F(x)=
g(x)=
F(x)+g(x) =
=
Addition Example
11
)6(2 xx
2/144 xx
2/144 xx
xx 66 2/1
Subtraction Example
2/188 xx x2 )6( x 2/188 xx
F(x) times g(x)=
Multiplication example
xx 62 x12
Division Example
)(
)(
xg
xf
3
1
6
2
x
x