...MTH133 Unit 4– Individual Project – D 1. Graphing Transformations a) Given the function f(x) = x2 complete the following table. Must show all work for full credit. Answer: x f(x) -2 4 -1 1 0 0 1 1 2 4 Show your work here: For x = -2, f(x) = (-2)2 = 4 For x = -1, f(x) = (-1)2 = 1 For x = 0, f(x) = (0)2 = 0 For x = 1, f(x) = (1)2 = 1 For x = 2, f(x) = (2)2 = 4 b) Using the table from part a, graph the function f(x) = x2. For a tutorial on creating graphs in Excel and inserting graphs of functions please see the Assignment List. Answer: c) Given the function f(x) = x2 - 4 complete the following table. Must show all work for full credit. Answer: x f(x) -2 0 -1 -3 0 -4 1 -3 2 0 Show Work: For x = -2, f(x) = (-2)2 – 4 = 4 – 4 = 0 For x = -1, f(x) = (-1)2 – 4 = 1 – 4 = 0-3 For x = 0, f(x) = (0)2 – 4 = 0 – 4 = -4 For x = 1, f(x) = (1)2 – 4 = 1 – 4 = -3 For x = 2, f(x) = (2)2 – 4 = 4 – 4 = 0 d) Using the table from part c, graph the function f(x) = x2 - 4. For a tutorial on creating graphs in Excel and inserting graphs of functions please see the Assignment List. Answer: e) Given the graph of y=f(x) describe in words the transformation of y=f(x)-4. Answer: The graph of y=f(x)-4 is a 4 unit shift of the graph y = f(x) towards down. 2) Find the domain of the function and express the answer in interval notation. Explain in words or show the calculations for full credit. a) f(x) = 10x + 1 Answer: domain is (-∞, ∞) ...
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...MTH133 Units 3-5 – Individual Project – C Name: 1) Solve algebraically. Trial and error is not an appropriate method of solution. You must show all your work. Learn how to type math roots and fractions by clicking on the link in the assignment list. Alternately, you may type [pic] as cuberoot(x) and show raising to the nth power as ^n, like x 3 is typed x^3. a) [pic] Answer: Show your work here: [pic] b) [pic] Answer: Show your work here: Answer: x = 32 Show your work here: [pic] c) [pic] Answer: Show your work here: Answer: x= 5/11 Show your work here: [pic] 2) a) Show the steps that you would take to solve the following algebraically: [pic] Show your work here: Show your work here: [pic] [pic] b) What potential solution did you obtain? Explain why this is this not a solution. Answer: Answer: x = 3 is not a solution because if we plug x = 3 into the original equation, the denominators become zero. 3) The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the volume is 700 in3. Round the answer to three decimal places. Trial and error is not an appropriate method of solution – use methods taught in class. Answer: Show your work here: [pic] Answer: s = 8.879 inches ...
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