Graphing Exponential

Growth:

Example:

when a > 0 and the b is greater than 1, the graph will be increasing (growing).

For this example, each time x is increased by 1, y increases by a factor of 2.

Such a situation is called Exponential Growth.

Decay:

Example:

when a > 0 and the b is between 0 and 1, the graph will be decreasing (decaying).

For this example, each time x is increased by 1, y decreases to one half of its previous value.

Such a situation is called Exponential Decay.

Compound Interest

Definition

When the interest rate is applied to the original principal and any accumulated interest, this is called compound interest.

Picture:

Linear Programming

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

Vertices:
Constraints	Objective Function:
x ≤5 y ≥ 4 -2x + 5y ≤ 30

Vertices:
Constraints	Objective Function:
x ≥ 1 y ≥ 2 6x + 4y ≤ 38

Vertices:
Constraints	Objective Function:
x ≥ 0 y≤8 -2x+3y ≥12

Vertices:
Constraints	Objective Function:
x ≥ 0 y ≥ 0 4x + 4y ≤ 20 x+2y ≤ 8

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

Vocabulary

Vocabulary Final Exam Folder | Quizlet

General forms of a Sequence:
Sequence:  list of numbers

Arithmetic:  sequence of numbers such that the difference between the consecutive terms is constant.
                      

Arithmetic Sequence	Common Difference, d
1, 4, 7, 10, 13, 16, ...	d = 3	add 3 to each term to arrive at the next term, or...the difference  a2 - a1 is 3.
15, 10, 5, 0, -5, -10, ...	d = -5	add -5 to each term to arrive at the next term, or...the difference  a2 - a1 is -5.
		add -1/2 to each term to arrive at the next term, or....the difference a2 - a1 is -1/2.

Geometric: sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Statistics

Statistics Data

Characteristics of Graphs:

Characteristics of Graphs:

Domain- x values

Range- y values

End behavior-Describes whats happens to a graph on "both" ends

Absolute Max/Min- Highest/Lowest point

Local Max/Min-More than 1 high/low point

Interval Increasing-what happens to a graph ( y values) as you move along x axis if y values are up along x axis if y values are down.

Interval of Decrease- what happens to a graph as you move down along x-axis if y values are down.

X-Intercept-(a,o)

Y-Intercept-(b,o)

Symmetry- even= symmetric about the y-axis.

Even/Odd-add-symmetric about the y axis. If its neither then its none.

Asymptotes- imagery line that a graph gets closer and closer but never touch.

Function: describing what happens to a graph 

One to One: passes both vertical and horizontal line test