Let `f(x) = {{:(x^(2) + 3x",", -1 le x lt 0),(-sin x",", 0 le x lt pi//2),(-1 - cos x",", (pi)/(2) le x le pi):}` . Draw the graph of the function and find the following
(a) Range of the function
(b) Point of inflection
(c) Point of local minima

Options

A. f(x) has global minimum value -2
B. global maximum value occurs at x=0
C. global maximum value occurs at x=`pi`
D. `x=pi//2` is point of local minima

Answer

1,2,3,4

Explanation

From the graph global minimum value is f(-1)=-2 and global maximum value is `f(0)=f(pi)=0`