Quizlet

Vocabulary Final Exam Folder | Quizlet

Test #1

Test #2

Test #3

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	24	0		24

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

Vertices:	(1,8)		(1,2)		(5,2)
Constraints	Objective Function: C=7x + 3y
x ≥ 1 y ≥ 2 6x + 4y ≤ 38	31	11		41

Vertices:	(0,4)		(0,8)		(6,8)
Constraints	Objective Function: C=4x + 6y
x ≥ 0 y ≤ 8 -2x+3y ≥ 12	28	52		240

Vertices:	(0,0)		(0,5)		(2,3)		(8,0)
Constraints	Objective Function: C=8x + 7y
x ≥ 0 y ≥ 0 4x + 4y ≤ 20  x + 2y ≤ 8	15	64		35		37

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

Statistics Test

Statistics Test

Graphing Exponential Growth & Decay

Graphing Exponential 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=positive)

          y<k (a=negative)

Exponential equations domain is always all real numbers.

General Forms of a Sequence

General Forms of a Sequence

 

Sequence- Is an ordered list of terms or elements.

Arithmetic Sequence- the difference between one term and the next is a constant. Also called the Common Difference.

Geometric sequence formula-  In a Geometric Sequence each term is found by multiplying the previous term by a constant. Also called the Common Ratio.

Finite sequence- Is a function with domain 1,2,3.

Infinite sequence- Is a function with domain 1,2,3,4.... etc.

Series- Is the sum of a sequence.

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

Recursive Formula- Each domain is a answer based on a previous answer.

Compound Interest Formula

Compound Interest Formula

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

r= annual rate of interest (as a decimal)

n= number of years the amount is deposited or borrowed for

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

n= number of times the interest is compounded per year

Example: An amount of $1,500.00 is deposited in a bank paying an annual interest rate of 4.3%, compounded quarterly. What is the balance after 6 years?

Solution: Using the compound interest formula, we have that

P = 1500, r = 4.3/100 = 0.043, n = 4, t = 6.

So,the balance after 6 years is approximately $1,938.84.

Characteristics & Traits of Graphing

Characteristics & Traits

• Domain: x-values, describe a graph as it moves left to right.

• Range: y-values, describe a graph as it goes up and down.

• End Behavior: describes what happens an both ends.

• Absolute Max/Min: Highest or lowest point.

• Local Max/Min: More than one highest or lowest point.

• Interval of increase: What happens to the graph as you move along the x-axis.

• Interval of decrease: What happens to the graph as you move along the x-axis.

• X-intercept: (a,0)

• Y-intercept: (0,b)

• Symmetry: 

                  Even: Symmetric about the y-axis.
                  Odd: Symmetric about the origin.
                  Neither: No symmetry

• Asymptotes: Imaginary line that a graph gets closer to, but never touches.

• Function: Passes vertical line test.

• One to One: Passes both line tests.