Vocabulary Final Exam Folder | Quizlet

Transformations

Transformation Game

Linear Programming

Vertices:	(0, 6)		(0, 0)		(6, 0)
Constraints	Objective Function:
x ≥ 0 y ≥ 0 x + y ≤ 6

Vertices:	(-15, 0)		(0, 6)		(5, 0)
Constraints	Objective Function:
x ≤ 5 y ≥ 4 -2x + 5y ≤ 30

Vertices:	(0, 9.5)		(1, 0)		(6.33, 0)
Constraints	Objective Function:
x ≥ 1 y ≥ 2 6x + 4y ≤ 38

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

Vertices:	(0, 5)		(2, 3)		(8, 0)		(0, 0)
Constraints	Objective Function:
x ≥ 0 y ≥ 0 4x + 4y ≤ 20 x + 2y ≤ 8

Vertices:	(0, 4)		(4, 3)		(3, 0)		(0, 0)
Constraints	Objective Function:
x ≥ 0 2x + 3y ≥ 6 3x - y ≤ 9 x + 4y ≤ 16

Statistics Test

Statistics Test

Statistics

               Statistics Data                                               

Graphing Expo Growth - Decay

Graphing Exponential Growth/Decay.



Step 1. Create the Parent Graph
Step 2. Find (Identify) A, H, K
Step 3. Create your new T-Chart

Domain - All real #'s
Range - y>k when a is positive, while y<k when a is negative
Asymptote - y = k

Step 4. Draw Asymptote
Step 5. Graph new points

Exponential Formula: y=axbx-h +k

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

b = base

b>1 = while #'s growth, always increasing\
0<b<1 = fraction ; decay , always decreasing
B is never negative only the multiplier is




h = lf/rt: opposite
k = up/dw

Compound Interest Formula

A=P(1+ r/n)nt:

A: Amount
P: Principal
r: rate of interest
n: number of times per year, hour, day , etc. Interest is compounded
t: time in years

Arithmetic and Geometric Sequences - General Forms of a Sequence

Arithmetic and Geometric Sequence

Sequence - an ordered list of terms or elements






Arithmetic sequence formula: In an Arithmetic Sequence, the difference between one term and the next is a constant. AKA the Common Difference.
ARITHMETIC FORMULA:
an =a1 +(n-1)d:
n: term number
a(n): nth term
a: first term
r: common difference

Geometric Sequence Formula: In a Geometric Sequence, each term is found by multiplying the previous term by a constant. AKA Common Ratio.
GEOMETRIC FORMULA:
an=a1 + r (n - 1):
n: term number
a(n): nth term
a: first term
r: common ratio

Example:        2, 4, 8, 16, 32, 64...

This sequence has a factor of 2 between each number. Each term ( except the first term ) is found by multiplying the previous term by 2.

Finite sequence - Function with domain 1, 2, 3.

Infinite sequence - Function with domain 1, 2, 3, 4....

Series - Sum of a sequence

Explicit formula - Each domain is an answer not based on any values.

Recursive formula - Each domain is an answer based on a previous answer