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3 2. Graph f (x)= 2Vx- 4 + 1 using transformations. Explain your process. a. Process (3 marks) the b. Graph (2 marks) 10 4
3 2. Graph f (x)= 2Vx- 4 + 1 using transformations. Explain your process. a. Process (3 marks) the b. Graph (2 marks) 10 4 8 6 4 2 8 10 12 14 16 X 6 c. state the domain and range of the function (2 marks) Domain : (3, 60 ] XIX // 46 .. . 2012 Alberta Education3. At the beginning of the lesson, the radical function S = 15.9VLf was introduced, where S is the speed of the vehicle in km/h, L is the length of the skid marks in metres, and f is the coefficien friction. The coefficient of friction for a particular road made of asphalt pavement is 0.80. The new function would be S = 15.9V0.80L. a. Describe the transformations required to transform the function S = VL into the function S= 15.9V0.80L . (2 marks) Core b. Graph the function S = 15.9V0.80L . (2 marks) 140 120 100 80 60 40 20 20 40 60 80 100c. State the domain and range. What do these values mean in the context of this question? (3 marks) d. Determine the approximate speed of the vehicle, correct to the nearest tenth, if the length of the skid marks is 20 m. (2 marks) 5. y = Vx is transformed to y =-2Vx+3-1 a. State the transformations that occurred (3 marks) godional constant inside . sign One additional constant of b. State the domain and range of y = Vx (2 marks) c. State the domain and range of y = -2vx+3 -1 (2 marks) 5. 90 2012 Alberta Education6. A company estimates its cost of production using the function C(n) = 20vn +1000, where C represents the cost, in dollars, to produce n items. a. Describe the transformations represented by this function as compared to C = Vn (2 marks) the Constant b. State the domain and range and interpret the domain and range in this context. (4 marks) the x volve will be 61 ( (n ) foran " wil Domain () it . c. Determine the expected cost to produce 12000 items. (1 mark) 1: 12600 145 C() 30 120 1009 (() 3190. -89 2012 Alberta Education7 Lesson 2: Square Root of a Function 1. a. Sketch the graph of the function y = f (x) given the graph of the function y = f(x). (2 marks) 21 Y F ( x ) -6 4 2 b. State the domain and range of the function y = f (x) and y =f(x). (4 marks) Rouge 6 0. 1.58 y - f G 2012 Alberta Education
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