20. Solve the following trigonometric equation for OSX S27 . Show your work. (4 marks) 2 sin x + 5sin x -3 =0 Copyright @ 2020 The Ontario Educational Communications Authority. All rights reserved. TVO ILC MHF4U Advanced Functions Final Test 21. Find an equation of the following function: (more than one possible answer) A sine function with an amplitude of 6 units, a period of , a phase shift of radians to the left and translated 2 units down. (4 marks) Unit 4: Characteristics of functions (20 marks) (approximate time: 20 minutes) 22. Given that f(x) = {(4,1), (7,6), (11,1), (10,-2)} and g(x) = {(4,-3), (7,-5), (11,4)]. Determine the following: (2 marks) a) f(x)+g(x) = b) f (x) - 8(x) =23. Given that h(x) = -2x + 3 and f(x) = -4x+ x - 6. Determine the following: (4 marks) a) _ f (x) h(x) b) f[h (x)] = 24. Calculate the average rate of change for the function f(x) = -x + 4x + 3 over the interval 25x56. (2 marks) 25. Use f(x+0.0001)- f(x ) to determine the instantaneous range of change of the 0.0001 function f(x) = 2x2 - 5x at x= -2. Give the answer to the nearest tenth. (2 marks)26. State the domain and range of each function below. (4 marks) a) f(x) =35x-30+4 5 b) g(x) = -+18 12- 2x 27. Determine whether the function f (x) = -2x + 5x has a maximum or minimum at the point where x = . (4 marks) 28. Use algebra to determine whether the function below is even, odd or neither. (2 marks) f( x ) =- sin x -+ 2x tan x