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1. Given the function below, what would be the domain of the function's inverse? -11/2 SXSX O All real numbers All values of x except x = tan,nEZ 5+2' 0 3Sx53 2. Which of the following is NOT true about how f(x) = sin" ( -4(x + 6) ) + 8 compares with its parent function? O Horizontally translated 6 units left O Vertically translated 8 units up Reflection across the x-axis O Horizontally stretched by a factor of3. Given the graph below, what would be the equations of the asymptotes in the inverse graph? O = 4+nineZ O 21 + na,NEZ 3 O y= *tho,nez O Ly = 3 21 + no,ne Z 4. Which of the following statements are TRUE about how y = -4 arcsin ? (x + 5) |+ 6 compares to its parent function? I. Vertical stretch of 4 II. Horizontal stretch of Ill. Horizontal translation 5 units left IV. Vertical translation 6 units up V. Reflection across the x-axis O I, III, IV, and V O I, IV, and V O I and IV O I, II, III, IV, and V5. Without graphing or solving for the inverse equation, list the transformations of the inverse of . = ZCOSOC 4) 7 1. Jacy keeps track of the amount of average monthly rainfall in her hometown. She determines that the average monthly rainfall can be modeled by the function A(1) = 2.3 sin |+ 9.25 where A(1) represents the average monthly rainfall in centimeters and / represents how many months have passed. If 40) represents the average rainfall in July, in which months does Jacy's hometown get at least 10.5 centimeters of rainfall? Show all of your algebraic reasoning to support your final answer. Bi U Font Family - AA- A D E . E . E .0 60 2. In 2021 the largest Ferris wheel was the Ain Dubai (or Dubai Eye). This Ferris wheel is 250 meters tall and takes 38 minutes to complete one revolution. Write an equation to describe the height of a rider on the Ferris wheel starting at its lowest point. Explain how you determined the amplitude and period as well as any vertical displacements and/or phase shifts that exist in your equation