Graphing Exponetial 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 is pos)

 y<k (a is neg)

                            

                                                              

Exponential equations domain is always all real numbers.

Statistics

Statistics & Data

Compound Interest Formula

P= Principle

R= Rate (as a decimal)

N= Number of time compounded

T= time (years) 

General forms of a Sequence

 Arithmetic & Geometric Sequences

Arithmetic formula: an= a1 (n + 1) d

Geometric formula: an= a1* r (n-1)

Example: -9, 3, -1, 1/3, 1/9    

This is a geometric sequence.

To find the term in a geometric sequence multiply or divide the previous term by “r”.

-9, 3, -1, 1/3, 1/9    r= -1/3  

5,   -10,   20,   -40    r= -2 

-10    20     -40

5      -10     20