Math 160 Exam 2 Practice. Read the instructions carefully. Budget your time. Use the back for scratch. Circle or box your answers. Show the details of your solutions where appropriate. Illegible work will not be graded. 1) Sketch the graph of f (x) = e" on the blank graph. Give the domain and range in interval notation. dom (f)= ran (f)= equation of HA: coordinates of intercept(s) (if any): 2) Solve the equation. 3) Rewrite the statement in terms of logarithms. Rewrite the statement in terms of exponents. 25 =5' log, 32 =5 4) Write dom(f) in interval notation. Show the details of your work. f (x) =log, - x+1 x5) Solve the equation. Give exact answers. log, (x+7) +log, (x+8) =1 6) Solve the equation. Give exact answers. 27 =10 7) Draw the angle in standard position, use an arrow to indicate direction. 135 3x 3 8) Find the arc length, s, of the are intersected by an angle of - on a circle of radius 4 in. Find the area of the sector intersected by an angle of ~ on a circle of radius 4 in. 29) Consider a clock with an hour hand and minute hand. What is the measure of the angle the minute hand traces in 12 minutes? Give answer in radians. 10) Determine the quadrant of the angle t. sin (1) 0 11) Find the exact value of each trigonometric function. If it does not exist write DNE. sin sin 4 6 COS COS 3 12) Find the exact value of each trigonometric function. If it does not exist write DNE. tan sec tan sec ( 7 ) =13) If sin (t ) = and t is in quadrant I, find the other 5 trig functions. Give exact answers only. cost = tant = cSCI = sect = cott = 14) If cost=-- and sint