(a) Find the open intervals on which the function shown in the graph is increasing and decreasing. (b) Identify the function's local and absolute extreme values, if any, saying where they occur. -4 -2 -2. (a) On what open intervals is f increasing? Choose the correct answer below. O A. (4,8) and (-2,1) O C. (-8,-2). (1,4), and (-2,1) О в. (-2,1) O D. (-8.-2). (1,4), and (4,8) On what open intervals is f decreasing? Choose the correct answer below. O A. (1,4), and (-2,1) O C. (-8.-2). (1,4), and (4,8) О в. (-21) O D. (4.8) and (-2.1) (b) At which points do the function's absolute maximum and local maximum values occur? Choose the correct answer below. O A. Absolute maximum at (8,6), other local maxima at (-8,-2) and (1,-2) (a) Find the open intervals on which the function shown in the graph is increasing and decreasing (b) Identify the function's local and absolute extreme values, if any, saying where they occur. 6 -4 O B. Absolute maximum at (8,6), other local maxima at (-2,4) and (4,2) O C. No absolute maximum, local maxima at (-2,4) and (1,- 2) O D. No absolute maximum, local maxima at (-8,- 2) and (1, - 2) At which points do the function's absolute minimum and local minimum values occur? Choose the correct answer below. O A. No absolute minimum, local minima at (-2,4) and (4,2) O B. Absolute minimum at (8,6), other local minima at (-8,- 2) and (4,2) OC. No absolute minimum, local mimima at (-8,- 2) and (1,- 2) O D. Absolute minimum at (8,6), other local minima at (-2,4) and (4,2)

A student planning her curriculum for the upcoming year must select one of three business courses, one of five mathematics courses, two of ten elective courses, and either one of four history courses or one of three social science courses. How many different curricula are available for her consideration? different curricula

If a team of four players must be made from eight boys and six girls, how many teams can be made if they must all be boys?

Part 4: Suppose that 53 of the 55 Computer Science students of San Sebastian College, Manila are taking at least one of the mathematics subjects Algebra, Trigonometry and Calculus. See the figure below for more details: 24 taking Algebra, 26 taking Trigonometry, 20 taking Calculus, 5 taking Algebra and Trigonometry, 7 taking Algebra and Calculus, 8 taking Trigonometry and Calculus. a. Find the number of students who are taking all three mäthematics subjects. b. Fill in the correct number of students in each of the eight regions of the Venn diagram. c. Determine the number of students who are not taking any of the three mathematics subjects? d. How many students are taking Algebra as their only mathematics subject? e. How many students were taking Calculus and Trigonometry but not Algebra?