Let g:[-2,2]\to\R and f:[-2,2]\to\R are two functions defined as g(x) = \\begin{array}{cc}-1{ &\end{array}, \if , -2\leqx < 0; x^2-1{,}, \if, 0\leqx\leq2 and f(x) = |g(x)|+g(|x|)+2. In the interval (-2,2), f is not differentiable at x =

TS EAMCET 4-Aug-2021 Shift 1 Question Paper

Section: Mathematics

Question : 68 of 160

Marks: +1, -0

Let g:[−2,2]→R and f:[−2,2]→R are two functions defined as g(x) = {

−1,	if	−2≤x<0
x2−1,	if	0≤x≤2

and f(x) = |g(x)|+g(|x|)+2. In the interval (−2,2), f is not differentiable at x =

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−1	‌	‌	−2≤x<0
x2−1	‌	‌	0≤x≤2.