1. FUNDAMENTALS OF ALGEBRA 2A CHAPTER 8 POWERPOINT PRESENTATION
EXPONENTIAL AND LOGARITHMIC FUNCTIONS

2. LEARNING TARGETS AFTER YOU COMPLETE THIS CHAPTER, YOU WILL BE ABLE TO:
EVALUATE GRAPHS OF EXPONENTIAL FUNCTIONS
USE SCIENTIFIC NOTATION IN COMPUTATIONS
EXPRESS TRANSLATIONS OF EXPONENTS AND LOGARITHMS
EVALUATE LOGARITHMIC FUNCTIONS
SOLVE EQUATIONS WITH LOGARITHMS

3. EXPONENTIAL GROWTH

4. Exponential Functions

5. EXPONENTS WITH A BASE OF 10

6. SCIENTIFIC NOTATION
REDUCING A LARGER NUMBER TO WHERE IT IS MORE THAN ONE BUT LESS THAN TEN ALSO WITH A POWER OF 10.
5,625,000 = x 10⁶
= x 10¯³

7. Exponential Equations
THESE ARE EQUATIONMS THAT YOU SOLVE WHICH INVOLVE EXPONENTS THAT ARE DECIMALS, OR POWERS.

8. The Number e, Base e
The number e is an irrational number, which means the decimal is non-repeating and non-terminating. The number e is like the symbol used for the number that is represented by pi:

9. Inverse Functions Inverse means the opposite.
Suppose you have a set of ordered pairs:
(1,2), (2,3), (4,5), (10, 40), the domain (x) values are: 1, 2, 4, 10 and the range (y) values are: 2, 3, 5, 40. In an inverse function, you interchange the x and y values: (2,1), (3,2), (5, 4), and (40, 10).

10. Logarithms
A number showing the power to which a certain fixed number (the base), must be raised to yield a specified number.
If you write 10² the base is ten and the exponent is ² also means log10 – 100 = 2, which is read logarithm base 10 of 100 equals 2.

11. Logarithmic Functions
The laws of operation with logarithms are the same as those for exponents.
Logarithms:

12. Logarithms
Logarithms are used to calculate (mortgages, payments, earnings, etc.):