The graph of a trigonometric function oscillates between y = 1 and y=-7. It reaches its maximum at x = i and its minimum at x = 37. Which of the following could be the equation of the function? (1 point) O f(x) = 4cos=- 3 O f(x) = 4sin - - 3 O f(x) = 4sin 2x-3 O f(x) = 8 sin = -3 2Use the graph to answer the question. AM The function in the graph has the general equation f(x) = asin(bx +c) + d . Which of the following values are correct? Select all that apply. (2 points) x -2n 37 7 7-10 O d =-3 2 2 O c = -1 O b = 0.5 O c = 0.5 O d = 1 O a =2 O b = 2The number of hours of daylight in a city in the Northern hemisphere shows periodic behavior over time. The average number of daylight hours is 12. The maximum number of daylight hours is 14.4. The period is 365 days. e The day with the least sunlight is December 20. Which equation models the number of hours of daylight on the day that comes t days after the shortest day of the previous year? (1 point) O H{E)=-1444n(0.017) O H(t)=144sin(0.017) O H()=-24c0os(0.017) +12 O H{t)=24c0s(0.017) +12 Which of the following inverse functions are defined for x = - - ? Select all that apply. (2 points) O y = cost x O y = cot" x O y = csco x O y = sec-1 x O y = sin x O y = tan" xThe graph of an inverse trigonometric function passes through the point 1,5 Which of the following could be the equation of the function? (1 point) O y = cos x O y = cot" x O y = sin x O y= tan xA six-feet-tall man looks off the roof of a five-story hotel. He sees a statue that is 75 ft. away from the hotel. If he is looking at the base of the statue, what angle does his sight line form with the side of the hotel? Assume that each complete story of the hotel is 12 ft. tall. (1 point) O 32.6 O 43.9 O 48.7 O 54.2 Given f(x) = sec x and g(x) = sin x, what is the composed function f(g(x)) and what are its domain and range? (1 point) f(g(x)) = sec(sin x) O domain: all real numbers, x * * , where n is an integer range: 15x $1.85 f(g(x)) = sin(sec x) O domain: all real numbers, x * * , where n is an integer range: -15x$1 f(g(x)) = sec(sin x) O domain: all real numbers range: 15 x$1.85 f(g(x)) = sin(sec x) O domain: all real numbers range: -1x1Martin simplified the composed function f(x)=an(arctanx) . His work is shown below. Step 1: f(x)=an4, where A = arctan x and x = tan A opposite x ctand=r =2 Step 2: adjacent 1 Step 3: hypotenuse = f1% - 2% = 4f1- 2 : opposite x Step 4: sin A= ST hypotenuse | 2 In which step did Martin make his first error? (1 point) O step 1 O step 2 O step 3 O step 4 (O He did not make an error