Using the given graph of the function f find the following E

Using the given graph of the function f, find the following (E (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. Type an exact answer using as needed.) (b) The domain is Type your answer in interval notation. Type an exact answer using as needed.) The range is Type your answer in interval notation. Type an exact answer using as needed.) (c) On which interval(s) is the graph increasing? Select the correct choice below and fill in any answer boxes within your choice A. The graph is increasing on (Type your answer in interval notation. Type an exact answer using as needed. Use a comma to separate answers as needed.) 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 fill in any answer boxes within your choice 0 A. The graph is decreasing on 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 fill in any answer boxes within your choice O A. The graph is constant on 0 B. There is no interval on which the graph is constant. (d) The function is (Type your answer in interval notation. Type an exact answer using as needed. Use a comma to separate answers as needed.) (Type your answer in interval notation. Type an exact answer using as needed. Use a comma to separate answers as needed.)

Solution

a) intercepts : (-pi , 0) , (0,0) , (pi , 0)

b) Domain : [ -pi , pi]

Range : [ -6 , 6]

c) ----Interval decreasing ( -pi , -pi/6) , ( pi/2 , pi)

----increasing interval ( -pi/2 , pi/2)

--- the graph is not constant anywhere

e) Function is odd function as the graph is symmetrical with respect to origin