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Monday, 12 January 2009

Algebra Pointers - 3rd Quarter (Seniors 0809)

POINTERS:

I. Exponential Functions
A. Funcs of the Form y=a^x where a >0 and y=a^x where 0 <>
B. Transformation of the graph y=a^x
a. Reflection
i. about y-axis
ii. about x-axis
b. Translation
i. y=a^x and y=a^x+c
ii. y=a^x and y=(a^x)+c
C. Exponential Equations
D. Problem Solving
i. compound interest
ii. exponential growth and exponential decay
**TERMS TO REMEMBER**
> asymptotes
> exponential decay - half-life

II. Inverse of a Function

A. Getting the Inverse

B. Logarithm as an inverse of exponential expression

C. Properties of Logarithm ( including the Change-Base Rule)

D. Evaluating Logarithm of a Quantity using Common Logarithm

E. Expanding a single log into sum/difference of simpler log and vice versa.

F. Logarithmic Equation

**DON'T FORGET TO BRING YOUR CALCULATORS! :)**