2) In words, communicate all transformations made on the parent function f(x) = 3x to sketch the function: [3] 9(x) = -4.3(x+4) - 6 3) Suppose the following graph represents average wave heights during a day at the beach. Then answer the following questions with reference to the function. 5 4.5 + 3.5 3 2.5 2 1.5 1 0.5 90 180 270 360 450 540 630 720 810 X a) What is the amplitude? b) What is the period? c) Determine a sine function modeled by this sketch. ***show calculations. [1] [1] [3] 7) The angle A is found in quadrant 3, such that Cos A = -4. Determine the exact value 9 of CscA (Decimal answers using a calculator will not be accepted). [3] 8) All progression work must be shown for full marks. Any unclear or questionable steps made will not be credited. Using exact values, show that 1+ cot = csc for @= 45. [4] 9) Tariq is buying a laptop computer. The cost of the computer is $2180. He wants to pay $500 cash and finance the remainder. He has two options: Option A: Store Credit with 13%/a simple interest for 2 years Option B: Credit Card: 12%/a compounded monthly for 2 years Which option should he choose? Justify your answer. [3] 10) Ms. Malik borrowed $450 000 from the bank to purchase a cottage. If the bank charges 5.8%/a compounded monthly, she will take 22 yrs. To pay off the loan. How much will each monthly payment be? [4] Full Solutions: 4) Given the function f(x) = x - 2x + 7, determine the inverse relation. [4] 5) Calculate the sum of the series: -396-308-220-132 - ... + 836. [3] 6) The 30th term of a geometric sequence is 125 and the 31st term is 1000. What is 32nd term? [3] Transformations, Graphs, and Diagrams: 1 1) For the function g(x) = -4 [0.5(x-2)]- a) State the following information: - 1: [2] a = k = d = C = b) State any asymptotes. [1] c) Sketch the transformed function g(x) = -4 [0.5(x-2)]-1, including table of key points with transformations. In you graph clearly state the points and asymptote(s). (x, y) (+d, ay + c) d) Correctly state the domain and range of the function g(x) sketched above. [3] [2]