MHF4U | Unit 3 Assignment: Logarithmic & Exponential Functions Full name: INSTRUCTIONS: Mark: /19 1. Read each question carefully. 8. All submissions must be one single PDF, correct 2. Your name must appear on all pages. orientation. 3. Scientific calculators are permitted. 9. Any sharing of materials constitutes cheating and the 4. Graphing software is not permitted. penalty for cheating or plagiarism is a grade of zero on 5. Answer all questions in the space provided. this assessment in accordance with the TDSB's anti- 6. Round answers to two decimals place if necessary. plagiarism policies. 7. All questions must be answered in proper form, showing all necessary steps to receive full marks. Due Date: Monday, April 8" @ 8:30 pm. 1. Solve the logarithmic equation: logs(x 2) + logys{x 2) + Eog%(x -2)=4 [5 marks] \\Hint: Use the change of base formula to break down every term into log with base 5 2.1f 335000 is invested in a hedge fund that pays 10.75% interest compounded annually, how long will it take for that investment to be worth $60 0007 Include the units in your final answer and show your work for full marks. [3 marks] MHF4U | Unit 3 Assignment: Logarithmic & Exponential Functions Full name: 3. A'singer is performing to a crowd. How many times more intense is her singing at 70 dB, compared to a bird whose call is 34 dB? Show ALL work and include a final statement. Round to one decimal place, if necessary. [3marks] 4. a) Write an equation for a logarithmic function with a vertical compression, a horizontal compression, a vertical asymptote x#0, and a vertical translation. [2marks] b) For the function, you created: state the asymptote, x-intercept and y-intercept, domain, range and sketch the function. Show your work for finding values. Make sure your graph includes a clearly labelled asymptote and key points. [6marks] s -+ttt