EXPONENTIAL FUNCTION EQUATION AND INEQUALITY Paul Jorel R
- Slides: 28
EXPONENTIAL FUNCTION, EQUATION AND INEQUALITY Paul Jorel R. Santos http: //www. pauljorelsantos. weebly. com
Laws of Exponents •
Definition 1 •
Prime Factorization
Example 1 • Given Prime Factorization 7 th property of E. F. Algebraic Manipulation (A. P. E. and M. P. E. )
Example 2 • Given Prime Factorization Laws of Exponent Property of E. F. Algebraic Manipulation (A. P. E. and M. P. E. )
Example 3 •
Example 4 •
Doubling Time Growth Model •
Example The bacterium Escherichia coli (E. coli) is found naturally in the intestines of many mammals. In a particular laboratory experiment, the doubling time for E. coli is found to be 30 minutes. If the experiment starts with a population of 1, 000 E. coli and there is no change in the doubling time, how many bacteria will be present: (a) in 15 minutes? (b) in 4 hours?
Solution •
Solution •
Half-life Decay Model •
Example A radioactive isotope was discovered. Its half life is 1. 23 years. If the sample starts at 45 grams, how much will be left (a) in 10 months? (b) in 7. 6 years?
• Solution
• Solution
Compound Interest •
Example •
Example •
Example •
Definition 2 •
Continuously Compound Interest •
Example •
Example •
Solve each equation.
Solve each inequality •