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Please help me finding the range and domain of this modulus function Question no.4

Please help me finding the range and domain of this modulus function
Question no.4

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Grade:12

1 Answers

Aditya Gupta
2081 Points
5 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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