1. Pre-calc w-up 4/22 1.Graph y = 2 x+1 2.Graph y < 2 x – 1 For #3-4 Without graphing, describe how the graphs are related. 3.y = 4 x and y = 4 x – 3 4.y = 3 x and y = 3 -x Answers see pg 712 of teacher’s edition.

2. 11.3 The Number e  e is an irrational number  Its approximate value is 2.7182820  y = e x is one of the most important exponential functions, find it on your calc.  The formula for exponential growth or decay in terms of e is  N = N 0 e kt where N o is the initial amount, k is constant and t is time  The formula for compounded continuously is A = Pe rt

3. Ex1: compare the balance after 25 years of a $ 10,000 investment earning 6.75% compounded continuously to the same investment compounded semiannually. Continuously A = Pe rt A = 10,000e (.0675)(25) A=$54,059.49 Semiannually A = P(1+r/n) nt 10,000(1+.0675/2) (2)(25) A=$52,574.62 How much more will you earn compounded continuously? 54,059.4 -52,574.62 = $ 1484.87

4. Lets do # 6 on pg 714 together The population of Bakersfield CA can be modeled by the equation y =33,430e.0397t where t is the number of years since 1950. Has Bakersfield experienced growth or decay? What was Bakersfield population in 1950? Find the projected population in 2010 Graph the equation, when will it reach a population of 500,000 people?

5. Summary: Homework: 11.3 pg 714 #8, 9, 11ab,12,13a,15 Show work