Statistics

Statistics

Graphing Exponential

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.

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.

Compound Interest

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

Picture: 

Statistics

Characteristics of Graph

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 

Linear Programming

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

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