2. Using the given graph of the function f, nd the following. (a) the intercepts. if any (b) its domain and range (c) the intervals on which it is increasing, decreasing, or constant (d) whether it is even, odd. or neither (a) What are the intercepts? |:| (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) (b) The domain is |:|. (Type your answer in interval notation. Round to the nearest integer as needed.) WWQBBE. (Type your answer in interval notation. Round to the nearest integer as needed.) (c) On which interva|(s) is the graph increasing? Select the correct choice below and ll in any answer boxes within your choice. 0 A. The graph is increasing on |:|. (Type your answer in interval notation. Use a comma to separate answers as needed.) 0 B. There is no interval on which the graph is increasing. On which interval(s) is the graph decreasing? Select the correct choice below and ll in any answer boxes within your choice. 0 A. The graph is decreasing on :I. (Type your answer in interval notation. Use a comma to separate answers as needed.) 0 B. There is no interval on which the graph is decreasing. On which interval(s) is the graph constant? Select the correct choice below and ll in any answer boxes within your choice. 0 A. The graph is constant on |:|. (Type your answer in interval notation. Use a comma to separate answers as needed.) 0 B. There is no interval on which the graph is constant. (d) The function is (1) (1) 0 even. 0 odd. 0 neither even nor odd. 3. (a) Select the correct choice below and fill in any answer boxes within your choice. Ay (0,2) A. The value(s) of x at which f has a local maximum is/are x = (Type an integer. Use a comma to separate answers as needed.) X O B. There are no values of x at which f has a local maximum. (-1,0) (1 0 ) Select the correct choice below and fill in any answer boxes within your choice. O A. The local maxima is/are y = Use the graph to find: (Type an integer. Use a comma to separate answers as needed.) (a) The numbers, if any, at which f has a local maximum. What are these local O B. There are no local maxima. maxima? (b) The numbers, if any, at which f has a local minimum. What are these local (b) Select the correct choice below and fill in any answer boxes within your choice. minima? O A. The value(s) of x at which f has a local minimum is/are x = (Type an integer. Use a comma to separate answers as needed.) O B. There are no values of x at which f has a local minimum. Select the correct choice below and fill in any answer boxes within your choice. O A. The local minima is/are y = (Type an integer. Use a comma to separate answers as needed.) O B. There are no local minima.4. Using the given graph of the function f, nd the following. (a) The numbers, if any, at which fhas a local maximum. What are these local maximum values? (b) The numbers, if any, at which fhas a local minimum. What are these local minimum values? (3) Find the value(s) of x at which f has a local maximum. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. OA- =: (Type an exact answer, using 1: as needed. Use a comma to separate answers as needed.) 0 B. There is no local maximum value. Find the local maximum. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 0 A. The local maximum is |:|. (T ype an exact answer, using 1: as needed. Use a comma to separate answers as needed.) 0 B. There is no local maximum. (b) Find the value(s) of x at which f has a local minimum. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. OA- =: (Type an exact answer, using 1: as needed. Use a comma to separate answers as needed.) 0 B. There is no local minimum value. Find the local minimum. Select the correct choice below and. if necessary. ll in the answer box to complete your choice. 0 A. The local minimum is |:| (Type an exact answer, using 1: as needed. Use a comma to separate answers as needed.) 0 B. There is no local minimum. 8. For the graph of a function y = f(x) shown to the right, find the absolute maximum and the absolute minimum, if they exist. Identify any local maxima or local minima 8- (2,5 4- (4,4) - 1,1) -3 (0,0) Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute maximum of y = f(x) is f( (Type integers or simplified fractions.) O B. There is no absolute maximum for y = f(x). Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute minimum of y = f(x) is f Type integers or simplified fractions. O B. There is no absolute minimum for y = f(x). Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. O A. The local maximum of y = f(x) is f( (Type integers or simplified fractions.) O B. The local maxima of y = f(x) are f( 1 = and f (Use ascending order with respect to x. Type integers or simplified fractions.) O C. There is no local maximum for y = f(x). Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. O A. The local minimum of y = f(x) is f( (Type integers or simplified fractions.) O B. The local minima of y = f(x) are f( and f (Use ascending order with respect to x. Type integers or simplified fractions.) O C. There is no local minimum for y = f(x).9- Find the average rate of change of f(x) = 3x2 + 6 over each of the following intervals. (3) From 4 to 6 (b) From 3 to 5 (c) From 1 to4 (a) The average rate of change from 4 to 6 is |:| (b) The average rate of change from 3 to 5 is |:| (c) The average rate of change from 1 to 4 is |:| 10. Find the average rate of change of f(x) = x3 2x + 9 over the following intervals. (a) From 7to 4 (b) From 1to3 (c) From3to? (a)The average rate of change from 7 to 4 is |:| (b) The average rate of change from - 1 to 3 is |:| (c) The average rate of change from 3 to 7 is |:|