Hello tutor answers needed for the questions in the pictures attached. Thanks!

Test: Score: 0 of 1 point Submit Test Sketch a non-constant function that is continuous on ( - co,co) and has the following properties. Use a number line to summarize information about the function. f( - 3) = f(1) = f'(-3) =f'(-1) =f'(1) = 0; f(x) = 0 on ( - co,co) Which of the following graphs matches the description of the given properties? O A. O B. O C. OD. AY 150 Which number line summarizes the information about the non-constant function? The function is decreasing in red and the function is increasing on blue. f' > 0 f'>0 f' > 0 F 0 f' > 0 F' 0 f' Find the derivative of the following function. 6x f(x) = 6% + 5 d 6x dx 6% + 5Test: EXAM 3 0 Score: 0 of 1 point Su Determine whether Rolle's Theorem applies to the following function on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem. g(x) = x3 + 14x2 + 65x + 100; [ - 5, - 4] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. Rolle's Theorem applies and the point(s) guaranteed to exist is/are x = (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) O B. Rolle's Theorem does not apply