PreCalculus 30 Name: Unit 5 i Handin Assignment Date: Unit 5 Exponential and Logarithmic Functions Please complete the Jfollowing questions after you complete each lesson of notes. You may also leave them to the end of the unit to complete all at once. lf you are having diiculty completing these questions let me know!r Once this assignment is completed and submitted the test will become open for you to complete. lf you would like this assignment marked with feedback before you write the test just let me knowl 5.1 Graphing Exponential Functions ['4 2: Graph the function y = G) . Describe these characteristics of the graph: x intercept, yintercept, equation of the horizontal asymptote, domain, and range. 5.2 Analyzing Exponential Functions ['6 Use transformations to sketch the graph of the exponential function: y = 2 i) increasing or decreasing ii) the intercepts iii) the equation of the asymptote iv) the domain of the function v) the range of the function 5.3 Solving Exponential Equations Exponent Laws [6 a) Solve the following: {2 marks each) 'K- 2 i) [115) 3 = 113 ii) [ls] - 5' b) To the nearest year, how long will it take an investment of $800 to double at an annual interest rate of 3%, compounded semimonthlyr {twice a month)? {2 marks) -3[:r+23 _ 1. / 46 Pre-Calculus 30 Name: Unit 5 - Hand-in Assignment Date: 5.4 - Logarithms and the Logarithmic Function 18 a) Evaluate: logs b) Evaluate: log, [ 128 /2 ) c) To the nearest tenth, estimate the value of log; 12.9. d) Write 3 as a logarithm with base 5. 5.5 - The Laws of Logarithms 14 a) Write as a single logarithm: log(x - 64) - log(x + 8) (2 marks) b) Write as a single logarithm: - log,x - 9log,y - 5log,z (2 marks) 5.6 - Analyzing Logarithmic Functions 16 a) Graphy = -3logs (-4(x - 5)) + 1 on the grid below. (4 marks) b) Identify the intercepts, the equations of any asymptotes, and the domain and range of the function. (2 marks) -3 -2 1 1 3 345 9 xPreCalculus 30 Name: Unit 5 Handin Assignment Date: 5.7 Solving Logarithmic and Exponential Equations ['6 a) Solve: 92 = 431 (3 marks) b} Solve: Ing[2x- 4) + Ing[x 3) = lugx 2) + lug[x+ 5) {3 marks} 5.8 Solving Problems with Exponents and Logarithms 6 a) In 1949, Vancouver Island experienced an earthquake with a magnitude of 8.1. In 2004, Vancouver Island experienced another earthquake, with a magnitude of 6.7. How many times as intense as the 2004 earthquake was the 1949 earthquake? Give the answer to the nearest whole number. {3 marks) b} A principal of $300 is invested at 5% annual interest, compounded biweekly (every 2 weeks}. To the nearest year, when will the amount be $500