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.

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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.

11.3 The Number e  e is an irrational number  Its approximate value is  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

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, Semiannually A = P(1+r/n) nt 10,000( /2) (2)(25) A=$52, How much more will you earn compounded continuously? 54, , = $

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 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?

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