Question:
Let f:(0,1)→R be the function defined as f(x)=[4x](x-\(\frac{1}{4}\))2(x-\(\frac{1}{2}\)), where [x] denotes the greatest integer less than or equal to x . Then which of the following statements is(are) true?
Let f:(0,1)→R be the function defined as f(x)=[4x](x-\(\frac{1}{4}\))2(x-\(\frac{1}{2}\)), where [x] denotes the greatest integer less than or equal to x . Then which of the following statements is(are) true?
Updated On: Mar 30, 2024
The function f is discontinuous exactly at the point in (0,1)
There is exactly one point in (0,1) at which the function f is continuous but not differentiable
the function f is not differentiable at more than three points in (0,1)
The minimum value of the function f is\(-\frac{1}{512}\)
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The Correct Option is A, B
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