* = * = 6 a. y = 2x3 An equation representing a function that extends from quadrant 1 to quadrant 3 is Which of the following functions has the longest period? y = -6x3 y - 6 sin(3x) + 20 y - 7 cos(X) + 13 y =-414 2. What is the degree and lead coefficient of f (x) = -2x + 5x2 - 6x3 + 10? y = 8 cos(2x) - 4 y = 2 sin(0.5x) - 11 a. degree I with a lead coefficient of -1 c. degree 3 with a lead coefficient of -6 Which of the following statements is true? b. degree 3 with a lead coefficient of 6 The domain of a transformed logarithmic function is always { x e R). d. degree 6 with a lead coefficient of - 1 3. An equation for the graph shown to the right is: Vertical and horizontal translations must be performed before horizontal and vertical stretches/compressi a. y = x ( x -3) y=x ( x - 3)3 A transformed logarithmic function always has a vertical asymptote. y = x(x-3)3 1=-x (x - 3)3 The vertical asymptote changes when a vertical translation is applied. 4. The graph of the function y = x is transformed to the graph of the function y = -[2(x + 3)]* + 1 by Another way of writing 23 - ? is a. a vertical stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up b. a horizontal stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up log, ( - 3 ) = 8 log 2 = -3 100 c. a horizontal compression by a factor of 7, a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up log 32 - - 1082 8 = -3 da horizontal compression by a factor of , a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up The function y = log4x - 3 is 5. State the equation of f(x) if D = {x e R/ x * ~} and the y-intercept is (0, -=) a. compressed vertically by a factor of - c. translated down 3 units 2x + 1 Ax) = 3x -2 x - 1 x + 1 2x + 1 Ax) = 3x - 2 Ax) = Ax) = 3x + 2 3x + 2 b. stretched horizontally by a factor of - d. translated right 3 units 6. Use your calculator to determine the value of csc 0.71, to three decimal places Evaluate 1082 To 0.652 1.534 0.012 80.700 d 7. Which compound angle formula is the easiest to use to develop the expression cos? 8- sin? ? The equation of the vertical asymptote for the function y = log(x - 3) + 2 is addition formula for sine subtraction formula for sine x = 2 x =0 x =-3 x=3 addition formula for cosine subtraction formula for cosine Page 3 of 10 Page 2 of 10