Consider the function f(x)=\\begin{array}{c}x^{2\end{array}{, }, 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 Math Model Paper 4

Question : 98 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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