Friday, April 18, 2014

Vocabulary


Vocabulary Final Exam Folder | Quizlet



Section # 1










Section # 2


Section # 3











Section # 4










Section # 5

Wednesday, April 2, 2014

Review 1

The reason why I missed this Question is because I didn't follow the formula correctly.


The  reason why I missed this Question is because I  didn't read the question thoroughly.


The  reason why I missed this Question is because I multiplied wrong.


The  reason why I missed this Question is because I thought it needed to be rounded.

The  reason why I missed this Question is because I squared instead of cubed the numbers.




Wednesday, March 19, 2014

Linear Programing



Vertices:
 (0,0)
 (6,0)
 (0,6)

Constraints
Objective Function: 
x ≥ 0
y ≥ 0
x + y ≤ 6
 C=3x +4y
C=3(0)+4(0)
C=0
C=3x +4y 
C=3(6)+4(0)
C=22
C=3x +4y
C=3(0)+4(6)
C=24 




Vertices:
 (-5,4)
 (5,4)
 (5,8)

Constraints
Objective Function: 
x ≤ 5
y ≥ 4
-2x + 5y ≤ 30
 C=2x+ 5y
C=2(-5)+5(4)
C=10
 C=2x+ 5y
C=2(5)+5(4)
C=30
 C=2x+ 5y
C=2(5)+5(8)
C=50




Vertices:
 (1,2)
 (5,2)
 (1,8)
Constraints
Objective Function: 
x ≥ 1
y ≥ 2
6x + 4y ≤ 38
 C=7x+3y
C=7(1)+3(2)
C=13
 C=7x+3y
C=7(5)+3(2)
C=41
 C=7x+3y
C=7(1)+3(8)
C=31




Vertices:
 (0,4)
 (6,8)
 (0,8)
Constraints
Objective Function: 
x ≥ 0
y ≤ 0
-2x +3y ≤ 12
 C=4x + 6y
C=4(0)+6(4)
C=24

C=4x+6y
C=4(6)+6(8)
C=72
C=4x+6y
C=4(0)+6(8)
C=48




Vertices:
(0,0)
(8,0)
(0,5)          (2,3)
Constraints
Objective Function: 
x ≥ 0
y ≥ 0
4x + 4y ≤ 20
x + 2y  ≤ 8
C=8x+7y
C=8(0)+7(0)
C=0
C=8x+7y
C=8(8)+7(0)
C=64
C=8x+7y
C=8(0)+7(5)
C=35
C=8x+7y
C=8(2)+7(3)
C=37



Vertices:
(3,0)
(4,3)
(0,4)           (0,2)
Constraints
Objective Function: 
x ≥ 0
2x + 3y ≥ 6 
3x - y ≤ 9
x + 4y ≤ 16
C=3x+5y
C=3(3)+5(0)
C=9
C=3x+5y
C=3(4)+5(3)
C=27
C=3x+5y
C=3(0)+5(4)
C=20
C=3x+5y
C=3(0)+5(2)
C=10


Tuesday, February 25, 2014

Graphing Exponetial Growth & Decay

Y= a×b x-h +K
A= multiplier
A>1= stretch
A<a<1= compression
A<0 (negative) = flipped over x- axis.
B= base has an exponential (always positive)
0>b<1= Decay (always decreasing)

Asymptote 
y=k   

 Domain
  (-∞, ∞) =all real numbers        
                            

 Range
y>k (a is pos)
 y<k (a is neg)



                            
                                                              
Exponential equations domain is always all real numbers.


Statistics





Tuesday, February 18, 2014

Compound Interest Formula





P= Principle
R= Rate (as a decimal)
N= Number of time compounded

T= time (years) 

General forms of a Sequence

 Arithmetic & Geometric Sequences



Arithmetic formula: an= a1 (n + 1) d


Geometric formula: an= a1* r (n-1)


Example: -9, 3, -1, 1/3, 1/9    
This is a geometric sequence.
To find the term in a geometric sequence multiply or divide the previous term by “r”.

-9, 3, -1, 1/3, 1/9    r= -1/3  

5,   -10,   20,   -40    r= -2 
-10    20     -40
5      -10     20



Tuesday, January 14, 2014

Characteristics & Traits


One to One: Passes the horizontal line test. Domain: X values left/right
Range: Y values up/down
End Behavior: Describing what happens to a graph (y values) as you move along the X –axis.
Absolute Max/Min: max= highest min=lowest
Local Max/Min: More than 1 highest and lowest point.
Interval of Increase:  From Decrease to increase.
Interval of Decrease: From positive to a negative.
X Intercept: (a, 0)
Y Intercept: (0, Y)
Symmetry: Even; symmetric about the y axis. Odd: Rotational symmetry about the origin. Neither: No, none, or N/A.
Asymptotes: Imagery line that a graph gets closer and closer to the X axis but never touches.   
Function: Passes the vertical line test.