CC1 Key Features of a GraphDomain?Range?End-Behavior?Maximum?Minimum?Interval of Increase?Interval of Decrease?( ) 2f x ( 2) ?f

CC1 #2) Graph Transformation

• Given the parent graph Sketch

Find Domain, Range, End-Behavior, Maximum/Minimum value(s), interval of increase and decrease.

( )f x x( ) 3 ( 2) 5g x f x

CC1 #2) Graph Transformation

• Given the parent graph Sketch

Find Domain, Range, End-Behavior, Maximum/Minimum value(s), interval of increase and decrease.

( )f x x( ) 3 ( 2) 5g x f x

CC2 Piece-wise Function

Sketch

And find the domain and range of the function.

2

6 2 4

( ) 3 2 4 2

( 4) 5 2

x x

f x x x

x x

CC3 Quadratics1) Given

A] Vertex point? B] Axis of Symmetry?C] x-intercepts? y-intercept?D] GraphE] Domain? Range? End-Behavior?F] Interval of Increase? Interval of Decrease?G] What is the Vertex Form of this equation?H] What is the Factored Form of this equation?

2( ) 2 5 12f x x x

CC3 Quadratics2) Given

A] Vertex point? B] Axis of Symmetry?C] x-intercepts? y-intercept?D] GraphE] Domain? Range? End-Behavior?F] Interval of Increase? Interval of Decrease?G] What is the Vertex Form of this equation?H] What is the Factored Form of this equation?

2( ) 3 2 8f x x x

CC3 Quadratics3) Given

A] Vertex point? B] Axis of Symmetry?C] x-intercepts? y-intercept?D] GraphE] Domain? Range? End-Behavior?F] Interval of Increase? Interval of Decrease?G] What is the Standard Form of this equation?

2( ) 2( 3) 5f x x

CC3 Complex Numbers1) Simplify

2) Simplify

3) Simplify

4) Simplify

5 33 (2 )i i

10 2 23 (1 2 ) (2 )i i i

3(2 3 )(1 3 )i i

3 24 5

ii

CC4 Polynomial Function GraphFor #1,2: Indicate the Leading Degree, Leading

Coefficient, End-Behavior, Factors, Multiplicities, x and y intercepts.

1)

2)

2 31( 4)( 2) ( 1)4

y x x x

2 21 ( 3 2)( 6 9)2

y x x x x

CC4 Polynomial Function Graph #3

For CC4 #3

Indicate the Leading Degree, Leading Coefficient, End-Behavior, Factors, Multiplicities, x and y intercepts; then find the polynomial function equation in factored form for the graph.

Non-Routine: Convert the factored form to standard form

CC1 Practice Problem #3

Given the parent graph ,

Sketch use

transformation method. Find the domain, range, end-behavior, interval of increase and decrease for the new graph.

( )f x x

1( ) ( 4) 23

w x f x

CC1 Practice Problem #4

Find the equationUsing TransformationMethod, if the parent Function is

2( )f x x

CC2 Practice #3• Solve the equation both graphically and

algebraically:

1 2 6 42x

CC2 Practice Problem #4Sketch the function, then find the domain and

range:

CC3 More Complex Number Practice

] (2 )(2 9 )

](7 36 )(2 9 )

8 36]3

2 4]1 9

a i

b

ci

d

CC3 Complex Number 2 55](7 ) (6 )

](6 16 )(6 16 ) (4 9)(2 25)

e i i i

f