Q84 of 107 Page 107

The function f(x) = is

We have,


Now, f(x) is discontinuous where 4x-x3 = 0.


⇒ x(4x-x2) = 0


⇒ x = 0 or 4x-x2 = 0


⇒ x = 0 or x = ±2


⇒ f(x) is discontinuous at exactly three points.

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