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Let f(x) = {{:(x^(2) + 3x",", -1 le x lt...

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

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

Text Solution

Verified by Experts

The correct Answer is:
1,2,3,4

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