If f(x)={\\begin{array}{cc}x & \\\\\ \\\\text{ when }\\ x \\\\text{ is rational }\\ \ 1-x & \\\\text{ when }\\ x \\\\text{ is irrational }\\\\end{array}., then

Correct Answer is : f is continuous only at x=12

f is differentiable for all real x

f is continuous only at x=\frac{1}{2}

f is discontinuous for all real x

CUSAT 2021 BTech Solved Paper Shift 2

Question : 201 of 250

Marks: +1, -0

If f(x)={

x	‌‌‌ when ‌x‌ is rational ‌
1−x	‌ when ‌x‌ is irrational ‌

., then

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