let...| Continuity and Differentiability

JEE MAIN 2019

11-01-2019 S1

Question

Let $f(x)=\left\{\begin{array}{cc}-1, & -2 \leq x<0 \\ x^2-1, & 0 \leq x \leq 2\end{array}\right.$ and
g(x) = | f(x)|+f(|x|). Then, in the interval (–2, 2), g is

Select the correct option:

not differentiable at two points

not differentiable at one point

not continuous

differentiable at all points

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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