Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-interoept, if any; and e. the missing function value, indicated by the question mark, below. Graph approaches but never touches = 9 f\") ' the x-axis. a. The domain is . (Use interval notation.) b. The range is . (Use interval notation.) Use the graph to determine (+ (a) open intervals on which the function is increasing, if any. X (b) open intervals on which the -7654 3-2-4 2 6 function is decreasing, if any. (c) open intervals on which the (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on the interval(s) (Tyne vouIr answer in interval notation Ilse a comma to senarate answers as needed )For the functions f(x) = 3 - x and g(x) = x + 2x -63, find f+ g, f- g, fg, and -. Determine the domain for each function. (f + g)(x) = (Simplify your answer.) What is the domain of f + g? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain of f+ g is{ } (Use a comma to separate answers as needed.)Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial function. f(x) =6x3 + 7x5 - x+5 Choose the correct answer below. O A. The graph of f(x) falls to the left and falls to the right. O B. The graph of f(x) rises to the left and rises to the right O C. The graph of f(x) rises to the left and falls to the right.sin 10x Use the table to find the limit, lim X-0 sin 2x X - 0.03 - 0.02 - 0.01 0.01 0.02 0.03 sin 10x f( x) = 4.9283 4.9681 4.9920 4.9920 4.9681 4.9283 sin 2x . . . Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. sin 10x O A. lim sin 2x (Type a whole number.) vanUse the graph off to find the indicated limit and function value. a. lim f(x) b. 4) x>4 \\.../ a. Select the correct choice below, and, if necessary, ll in the answer box to complete your choice. ' O A. lim f(x) = x>4 ' Use the graph to find the following limits Ay and function value. a. lim f(X) 4- X-3 b. lim f(x) X + X-3 2 - Iimm fi.. a. Find the limit. Select the correct choice below and fill in any answer boFind the distance between the pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (5,2) and (9,5) The distance between the points is units. (Simplify your answer. Type an exact answer, using radicals as needed.) Express the distance rounded to two decimal places if the exact simplified answer contains radicals. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. C\" A- The distance between the points is approximately units. (Type an integer or decimal rounded to two decimal places as needed.) Ch B. The exact simplified form does not contain radicals. The radius of a wheel rolling on the ground is 84 centimeters. If the wheel rotates through an angle of 30, how many centimeters does it move? Express your answer in terms of II: and then round to two decimal places. The distance that the wheel moves is centimeters. (Type an exact answer, using II: as needed. Use integers or fractions for any numbers in the expression.) The distance that the wheel moves is about centimeters. (Round to two decimal places as needed.) To find the distance across a lake, a surveyor took the measurements in the B figure shown. Use these measurements to determine how far it is across the lake. a = ? 370 a= yd (Round the answer to the nearest whole number.)Use reference angles to find the exact value of the following expression. cot 2250 . . . The reference angle is Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. cot 2250 = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the averageinn DationAliza the AnAminatAr \\Find the exact value of the expression, if possible. Do not use a calculator. cos ( cos - 1(-0.8)) Select ine Collect Choice below and, II necessary, IIII in the aniswel box to complete your CTIOIce. O A. cos cos ( -0.8)) = (Simplify your answer. Type an exact answer, using it as needed. Use integers or fractions for any numbers in the expression.) O B. The expression is undefined.Find the exact value of the expression, if possible. Do not use a calculator. cos ( cos - 1(-0.8)) Select ine Collect Choice below and, II necessary, IIII in the aniswel box to complete your CTIOIce. O A. cos cos ( -0.8)) = (Simplify your answer. Type an exact answer, using it as needed. Use integers or fractions for any numbers in the expression.) O B. The expression is undefined.Use an identity to solve the following equation on the interval [0,210. cost=3cosx-2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. C} A. X: (Use integers or fractions for any numbers in the expression. Type an exact answer, using II: as needed. Use a comma to separate answers as needed.) {3' B. There is no solution. The polar coordinates of a point are given. Find the rectangular coordinates of this point. [-53%] What are the rectangular coordinates of this point? (Type an ordered pair. Simplify your answer, including any radicals. Use integers or fractions for any numbers in ti Plot the complex number on the complex plane to the right. Write the complex number z = 1 + i in polar form. Select the correct choice below and fill in the answer box(es) within your choice. (Type an exact answer, using radicals as needed.) O A. Z= sin 0 + i cos O B. Z= COS + i sin O\fA Imaginary RealUse DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. 5 COS + i sin 10 10 75 COS 10 + isin 10 (Type an integer or a simplified fraction.)