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Review Chap 3-5

# Review Chap 3-5 - Chapter 3 1 Exponential Functions An...

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1 Chapter 3 1. Exponential Functions An exponential function ) ( t f Q = t ab t f = ) ( 0 > b a : Initial value of Q b : Growth factor, r b + = 1 , r : percent rate of change. Example: sec3.1: 5-8 2. Identifying Linear and Exponential Functions from a Table A linear function: Rate of change ( x y / )=const. An exponential function: changes at a constant percent rate. Example: page113, example 2 3. Finding a Formula for an Exponential Function If we are given two data points, we can find a formula for an exponential function. Example: sec3.2: 33 4. Graphs of Exponential Functions t ab t f Q = = ) ( a : Initial value of Q , b : (1) 1 > b , ) ( t f is increasing. The greater the value of b , the more rapidly the graph rises. (2) 1 0 < < b , ) ( t f is decreasing. The smaller the value of b , the more rapidly the graph falls. Example: page118, Figure 3.11 and 3.12 5. Compound Interest (1) Interest is compounded n times a year: nt n r P B ) 1 ( + = B : The balance t years later. P : Initial deposit. r : APR or nominal rate.

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Review Chap 3-5 - Chapter 3 1 Exponential Functions An...

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