Not drawn to scale 4. Sketch the graph of the function. y = sin (x/3) (5 points) X 5. Three vertices (corners) of a right triangle are the points (-1, -8), (-5, -8), and (-5, -1). Find the area of the triangle. (5 points)f(x) 9 10 Match the functions with its graph (5 points) 1. a) y = - f(x-4) b) y = f(x+6) + 2 2. Find the composite functions (f g) and (g . f). What is the domain of each composite function? (Simplify your answers completely. Enter your domains using interval notation.) (3+2+3+2 points) f(x) = XA g(x) = Vx a) (f(g (x) ) b) Domain of f(g(x)) c) g(f (x) ) d) domain of g(f(x)) 3. While traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is 2.50. After you drive 11 miles closer to the mountain, the angle of elevation is 90. Approximate the height of the mountain. ( Round your answer to three decimal places.) (5 points)