Question
Domain of definition of the function, is
Hint:
Wavy curve method
The wavy curve method (also called the method of intervals) is a strategy used to solve inequalities of the form .
The method uses the fact that ,can only change sign at its zeroes and vertical asymptotes, so we can use the roots of and to sketch a graph of the function over different intervals.
The correct answer is:
Given, ,
....... (1)
x(x-1)(x+1) > 0
By wavy curve method
When x> 1, function is positive
When x lies between 0 and 1, function is negative
When x lies between -1 and 0, function is positive
When x lies between < -1 , function is negative
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