Please help me finding the range and domain of this modulus functionQuestion no.4
Pushkar Kumar , 6 Years ago
Grade 12
Differential Calculus> Please help me finding the range and doma...
1 Answers
Aditya Gupta
Last Activity: 6 Years ago
Obviously domain is R
Now let |sinx|= siny where y lies in 0 to pi so that |cosx|= cosy
So function becomes 3siny-4cosy
At y=0 it's Value is -4 and at y=pi/2 it's Value is 3
Also f'(y)= 3cosy+4siny >0
So f(y) is an increasing function.
Hence range is [-4,3]
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