Project 4 – 9 questions
Project Chapter 4, sections 1 -4 Due July 28 th, 2022 Name_________________________ There are 9 questions, and you must do all of them for full credit on the project. Each question is worth 5 points for a total of 4 5 points. You are to work on the projects independently. You will turn in projects during our class meeting or submit in the assignment sect ion as one complete pdf by the due date. You may hand write or type the projects. Please show all work fo r full or partial credit, using the methods discussed in class. Each question will be graded based on the following rubric. 5 Points A five -point response answers the question correctly.  demonstrates a thorough understanding of the mathematical topics  ma y contain minor errors that do not detract from the demonstration of understanding  indicates that the student has completed the task correctly, using mathematically sound procedures, all required work is provided 3-4 Points A three -four -point response is partially correct.  demonstrates partial understanding of the mathematical topics and/or procedures embodied in the task  addresses most aspects of the task, using mathematically sound procedures  may contain errors and/or an incorrect solution but provides c omplete procedures, reasoning, and/or explanations, all required work is provided 1-2 Point A one -two -point response is incomplete and exhibits flaws but is not completely incorrect.  demonstrates only a limited understanding of the mathematical topics and /or procedures embodied in the task  may address some elements of the task correctly but reaches an inadequate solution and/or provides reasoning that is faulty or incomplete  exhibits multiple flaws related to misunderstanding of important aspects of the ta sk, misuse of mathematical procedures, or faulty mathematical reasoning  may contain correct numerical answer(s) but required work is not provided 0 Points A zero -point response is incorrect.  insufficient in demonstrating an understanding of the mathemati cal topics embodied in the task.  the required work is not provided  may contain answers that are incorrect, irrelevant, incoherent, or are correct but arrived at using an obviously incorrect procedure. Project Chapter 4, sections 1 -4, page 2 1. Sketch the graph of ()= 3. State the domain, the range, and whether the functio n is increasing or decreasing. 2. Sketch the graph of ()= (1 3). State the domain, the range, and whether the functio n is increasing or decreasing. (1) construct a table of values (points) to graph = () −2 −1 0 1 2 (2) Graph the points and draw a smooth continuous curve through the points (3) Domain ______________________ (4) Range _______________________ (5) Increasing or Decreasing _______________ (1) construct a table of values (points) to graph = () −2 −1 0 1 2 (2) Graph the points and draw a smooth continuous curve through the points (3) Domain ______________________ (4) Range _______________________ (5) Increasing or Decreasing _______________ Project Chapter 4, sections 1 -4, page 3 3. Use the One -to-one Property of Exponential Functions to solve the following equation 4= 64 4. Solve the following equation s (using the definition of Logarithmic Function ). a) log 2(16 )= b) log (27 )= 3 c) log 2()= 5 5. Sketch the graph, and state the domain and range of the function, = log 3(). (1) construct a table of values (points) to graph = () −1 0 1/3 1 3 Undefined Undefined (2) Graph the points and draw a smooth continuous curve through the points (3) Domain ______________________ (4) Range _______________________ (5) Increasing or Decreasing _______________ Project Chapter 4, sections 1 -4, page 4 6. Find the inverse for the function, ()= 73. 7. Use the Rules of Logarithms to re write the following expression as a single logarithm. log 2(102 )− log 2(3) 8. Use a calculator and the base -change formula to find each logarithm to four deci mal places, log 3(5.9) 9. Solve the equation. See strategy for solving exponential and logarithmic equations on page 384. log 2(+ 2)+ log 2(− 1)= 2