Consider the function f(x)=\{\table x^2, , x>2 ; 3 x-2, , x \leq 2.. Which one of the following statements is correct in respect of the above function?

Correct Answer is : f(x) is continuous but not derivable at x=2.

f(x) is derivable but not continuous at x=2.

f(x) is continuous but not derivable at x=2.

f(x) is neither continuous nor derivable at x=2.

f(x) is continuous as well as derivable at x=2.

UPSC NDA I 2013 Mathematics Paper

Question : 9 of 120

Marks: +1, -0

Consider the function f(x)={

x2	‌	x>2
3x−2	‌	x≤2.

. Which one of the following statements is correct in respect of the above function?

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