Question 11: [8 points} Graph two full periods of the iunctioh f{z] = coe{z} and state the amplitude and period. Enter the exact answers. For the number 7r, either choose 'i'T from the dropdown menu or type in F'i [with a capital P]. Amplitude: A = Period: P = Select the correct graph of the function r.) = :05 [Ex]. 8 2 1 X (d) WIH WE 12 12 -1 -2 3 3 2 X (e) O WE 14 12 12 -1 -2 -3 Show your work and explain, in your own words, how you arrived at your answers.Question 12: (4 points) Consider the function f (r) = 3sin (# (x - 4) )+ 7. State the amplitude A, period P, and midline. State the phase shift and vertical translation. In the full period [0, P], state the maximum and minimum y-values and their corresponding I-values. Enter the exact answers. Amplitude: A = Period: P = Midline: y = The phase shift is The vertical translation is Hints for the maximum and minimum values of f (I): The maximum value of y = sin (x) is y = 1 and the corresponding a values are I = , and multiples of 2 7 less than and more than this a value. You may want to solve , (z - 4) = , . The minimum value of y = sin (x) is y = -1 and the corresponding I values are I = 3"and multiples of 2 a less than and more than this I value. You may want to solve ? (z - 4) = 3 TT 2 . If you get a value for z that is less than 0, you could add multiples of P to get into the next cycles. . If you get a value for z that is more than P, you could subtract multiples of P to get into the previous cycles. For x in the interval [0, P], the maximum y-value and corresponding r-value is at: I = For x in the interval [0, P], the minimum y-value and corresponding z-value is at: I = y =Question 13: (2 points) Determine the amplitude, midline, period, and an equation involving the sine function for the graph shown below. y 5 -4 -3 -2 -1 1 2 3 - 2- -8 -10 Enter the exact answers. Amplitude: A= Midline: y Period: P = Enclose arguments of functions in parentheses. For example, sin (2 * ). nclude a multiplication sign between symbols. For example, for 2 a type in 2 * or. For the number 7, either choose a from the drop-down menu (under a) or type in Pi (with a capital P). Question 14: (3 points) Let f (I) = cos z. Determine the z-value(s) where the function has a maximum or minimum value on [0, 2 ). To enter 7, type Pi (with a capital P) The fields below accept a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or z + 1; x - 1). The order of the lists do not matter. On [0, 27), the maximum value(s) of the function occur(s) at what z-value(s)? On [0, 27), the minimum value(s) of the function occur(s) at what z-value(s)