1. algebra 2

2.  The _______________ number 2.71828…. is referred to as the _______________________.  An ___________ function with base ___ is called a __________ _______ ____________ _________.  The ______________________ with base _______ is called the ______________ _____________.  The _______________ _______________ _______________, y=ln x, is the _____________ of the natural base exponential function, __________. irrational natural base, e exponentiale naturalbaseexponentialfunction logarithm e naturallogarithm naturallogarithm functioninverse y=e x

3. What do you notice about this graph? **Since the natural base function and the natural logarithmic function are ________, these two functions can be used to “_______” each other.**

4. a) e x =5 b) e x =23 a) e x =14 d) ln x ≈ 0.6931 e) ln x ≈ 0.5352 f) ln x = 2.25

5.  **Since the natural base function and the natural logarithmic function are ________, these two functions can be used to “_______” each other.** inverses undo

8.  http://www.youtube.co m/watch?v=DjlEJNfsO Kc http://www.youtube.co m/watch?v=DjlEJNfsO Kc  http://www.youtube.co m/watch?v=Uka5owZd FDI&NR=1 http://www.youtube.co m/watch?v=Uka5owZd FDI&NR=1  What do you think exponential growth is?  What do you think exponential decay is?  What are some examples of exponential growth?  What are some examples of exponential decay?

10. Suppose a culture of 100 bacteria is put into a Petri dish and the culture doubles every hour. Predict when the number of bacteria will be 350,000.

11. A car bought for $13,000 depreciates at 12% per annum. What is its value after 7 years?