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.

Compund Interest

Define:

• Compound Interest is the interest paid on both the principal and the interest you earned so far on that principal.

Picture:

<<<Image Goes Here>>>
Vertices:
Constraints	Objective Function:
x ≥ 0 y ≥ 0 x + y ≤ 6

<<<Image Goes Here>>>
Vertices:
Constraints	Objective Function:
x ≥ 0 y ≥ 0 -2x + 5y ≤ 12

<<<Image Goes Here>>>
Vertices:
Constraints	Objective Function:
x ≥ 0 y ≥ 0 x + y ≤ 5

Characteristics of Graphs

One to One: line that passes the vertical line test and is horizontal

absolute maximum\minimum: A point at its highest or lowest on a graph
local max\min: more than 1 point at its highest or lowest on a graph
X- intercept: point that crosses the X- Axis
Y- intercept: point that crosses the Y- Axis
Function: line that passes the vertical line test