JEE Advanced Mathematics question

MathematicsContinuity and DifferentiabilityJEE Advanced

A function is defined in the interval as follows:

f(x)=

The graph of the function

Answer: (A),(C)

Solution

Simplify: on , on , and on , so

f(x)=

Each piece is continuous and differentiable inside its interval, so only are doubtful.

- : , → broken. -

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Question ID VK-109352