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STD 12 - 5. continuity and differentiation — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 5. continuity and differentiation4 Marks
MCQ
Identify the correct statement about function $f(x) = max(x^2 -1, 7 -x^2, 5)$
  • ✓
    $f(x)$ is not differentiable at $4$ points
  • B
     range of $f(x)$ is $\left[ {3,\infty } \right)$
  • C
    $f(x)$ is an injective function
  • D
    $f(x)$ is discontinuous at $4$ points.
✓

Answer

Correct option: A.
$f(x)$ is not differentiable at $4$ points
a

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