Vocabulary Final Exam Review

Vocabulary Final Exam Review

Section #1

Section #2 

Section #3

Section #4

Section #5

Section #6

Transformations

Transformation game 

Linear Programming

Vertices:	( 0,6)		(0,0)		(6,0)
Constraints	Objective Function: C=3X+4Y
x ≥ 0 y ≥ 0 x + y ≤ 6	C=3(0)+4(6) C=24	C=3(0)+4(0) C=0		C=3(6)+4(0) C=18

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

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

Vertices:	(0,8)		(0,4)		(6,8)
Constraints	Objective Function: C=4x+6y
x ≥ 0 y ≤ 8  -2x + 3y  ≥ 12	C=4(0)+6(8) C=48	C=4(0)+6(4) C=24		C=4(6)+6(8) C=72

Vertices:	(0,4)		(0,0)		(2,3)		(5,0)
Constraints	Objective Function: C= 8x + 7y
x ≥ 0  y ≥ 0  4x+4y ≤ 20 x + 2y ≤ 8	C= 8(0) + 7(4) C= 28	C= 8(0)+7(0) C= 0		C= 8(2)+7(3) C= 37		C=8(5)+7(0) C=40

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

Graphing Exponential Equations

Graphing Exponential Growth/Decay

1. Create the Parent Graph.

2. Identify A,H,K.

3. Create your new T-Chart.

• Domain: All real #'s.
• Range: y>k; when a is positive. y<k; when a is negative.
• Asymptote: y=k.

4. Draw Asymptote

5. Graph new points.

• Exponential Formula:  y=a×b^x-h+k
• a = multiplier.

a>1 = stretch
0<a<1 = compression
a< 0(negative) = flipped over x-axis.

• b = base

b>1 = whole #, growth, always increasing.

0<b<1 = fraction; decay, always decreasing.

B is never negative only the multiplier is.

• h = lf/rt; opposite
• k = up/dn

Compound Interest Formula

Compound Interest: Interest calculated on the initial principal and also on the accumulated interest of previous periods of a deposit or loan.

A = amount of money accumulated after n years, including interest.

P = principal amount (the initial amount you borrow or deposit)

r  = annual rate of interest (as a decimal)

t  = number of years the amount is deposited or borrowed for.

n  =  number of times the interest is compounded per year 

Statistics Test

Statistics Test

Arithmetic and Geometric Sequences

 


                   
A Sequence is a set of  numbers that are in order.

• In a Geometric Sequence each term is found by multiplying the previous term by a same number
  

  
• In an Arithmetic Sequence the difference between one term and the next is you just add the same value each time.

 

                     General Form of an Arithmetic Sequence

a_n = a₁ +(n - 1)

 

General Form of an Geometric Sequence

a_n = a₁·r^n-1d

 

d = the common difference

a<sub>1 = the first number in the sequence

n = the number of the place of the sequence you're trying to figure out</sub>

 

Characteristics and traits

Domain- Describing left/right of a graph (x-values) 
Range- Describing up/down of a graph (y-values)

End behavior- Describing the 2 ends of an equation 


Absolute max/min- The 1 point that is the highest on a graph (x,y)


Local max/min- More than one point that are the highest/ lowest points


Interval of increase- Section of a graph where y values are increasing


Interval of decreasing- Section of graph where y values decrease 


Symmetry- 
         Even symmetry- symmetric about y axis
         Odd symmetry- symmetric about x origin 
        Neither- no symmetry 


One to one- Passes vertical/horizontal line test

Function-  Passes vertical line test 


Asymptotes- Curve in a line, line that gets close to the line but never touches it                                                         




X intercept-  (a,0) crosses x axis
Y intercept- (0,b) crosses y axiz