Download Spring 2003 Test 2 Review Sheet: Exponential and Logarithmic Functions - Prof. John Lamast and more Exams Trigonometry in PDF only on Docsity! Spring 2003 Review Sheet for Test 2 March 7, 17, 18, 19, 20, 21 Given a formula, get an annual growth rate or decay rate, as well as an initial amount. 4.1 โ 15, 19, 20 and 4.2 โ 25 and Chapter 4 Review โ1 a. Given an annual growth rate or decay rate and an initial amount, write a formula y = abx. b. Predict a future value of y for some x. 4.1 - 4, 6, 7 , 8 and 4.2 - 23 and Chapter 4 Review โ2 Match an equation to a graph. Know what a and b mean in y = abx. 4.3 โ 4, 6, 7, 11 and Chapter 4 Review - 4, 5 a. Given some data (which is not an initial amount) write a formula for an exponential function b. Know what a means in the formula y = abx. c. Given a value of y, find a value of x. d. Explain what b means in the formula y = abx. 4.2- 5, 8b, 11, 13, 14, 15, 21, 29 and Chapter 4 Review - 6, 7, 8, 9, 17, 18, 20, 21 a. Understand concave up, concave down, increasing, and decreasing. b. Understand how concavity is related to the rate of change. Read Concavity and Rates of Change on pages 122-124 and 4.3 -4, 6, 7, 11 and Chapter 4 Review - 4, 5 Evaluate the natural logarithm and use the inverse property elnW = W. 4.4 - 2, 10b a. Understand inverse property elnW = W. See 4.4 #2, 10b b. Know how to evaluate a logarithm such as log216. See worksheet on logs. c. Understand and use inverse property elnW = W be able to write / 21 x x e eโ= . See 4.4 #3, 10 d. Understand and use inverse property log10W = W. See 4.4 #3 e. Understand and use inverse property 10logW = W and power property. See 4.4 # 9 Also see Chapter 4 Review -14, 15 Use properties of logs to show one expression is the same as another. 4.4 โ 34 as well as 7, 8 and Chapter 4 Review - 16, 26 Solve a logarithmic equation -involving pH. 4.4 - 14 and 4.6- 22, 24 Chapter 4 Review - 27de a. Solve an exponential equation with x on one side of the equation. See 4.4 #16. 24. 25, 26, 28, 30 Ch 4 Review -11, 27ac b. Solve an exponential equation with x on one side of the equation - multistep See 4.4 # 12, 15.21,23, 25, 26,29,30 and Chapter 4 Review โ11, 27b a. Given an initial amount and a growth rate over some period of time, write a formula for an exponential function See 4.2 - 29 and 4.6- 7, 13.15,16, 19 and Chapter 4 Review 31, 32i, 32iii, 35.36 b. Solve an exponential equation with x on both sides of the equation See 4.4 #12,15.21,23, 25, 26,29, 30 and 4.6 #1, 7, Chapter 4 Review- 11, 27b a. Recognize linear vs. exponential growth b. Find formulas for linear functions and exponential functions if given its initial value and information on how it grows. c. Solve an equation involving an exponential function and a linear function. Read bottom of page 114 Exponential Growth Will Always Outpace Linear Growth in the Long Run and read bottom of page 141 Exponential Growth Problems That Cannot Be Solved By Logarithms and do 4.2 --3 and 4.6- 3,4 and Chapter 4 Review 13,19 and 27g
