Monday, March 10, 2014

Arithmetic and Geometric Sequences

A sequence is an ordered list of terms and elements. The two general forms of a sequence is arithmetic and geometic.


  • Arithmetic Sequence: An= A1+(n-1)d

                  d=An-A(n-1)


  • Geometric Sequence: An= A1 r(n-1)

                  r= An/An-1


Compound Interest Formula

Formula:
A=P(1+r/n)nt 

  • N- Number of times compounded
  • P- Principle 
  • R- Rate
  • T- Time

Tuesday, March 4, 2014

Exponential Growth and Decay

A=P(1+r)t                
R= Rate
T= Time in years

Growth-> 1+r
Decay-> 1-r

To chance a number to a decimal:
Move the decimal two places to the left.
This graph is an example of exponential growth.

This graph is an example of exponential decay.

Wednesday, January 15, 2014

Traits and Characteristics Of Graphs


Domain: X-Values (left and right)
Range: Y-Values (up and down)

End Behavior: describing the end of an equation
          (up) y-> infinity (down) y->  negative infinity

Absolute Max/Min: The highest or lowest point on a graph
Local Max/Min: more than one point, lowest or highest on a graph.

Interval of Increase: section of the graph where Y-Values increases.
Interval of Decrease: section of the graph where the Y-Values decrease.

X-intercept: (A,0)
Y-intercept: (0,B)

Symmetry: When you can fold the graph in half and the graph will stay the same.

Even: Semetric on the Y-axis
Odd: semetric to the origin.
Neither: When the graph isnt semetric to the y-axis or the origin.

Asymptotes: The imginary line that a graph will come closer and closer to without ever touching.

Function: Passes the vertical line test.
One to One: Passes vertical line and horizontal line test.