Question
Every invertible function is:
- Monotonic function.
- Constant function.
- Identity function.
- Not necessarily monotonic function.
Solution:
We know that "every invertible function is a monotonic function".
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(where $\mathrm{C}$ is a constant of integration)
($A$) $f$ has a local minimum at $x=2$
($B$) fhas a local maximum at $x=2$
($C$) $f^{\prime \prime}(2)>f(2)$
($D$) $f(x)-f^{\prime \prime}(x)=0$ for at least one $x \in \mathbb{R}$

Statement $-1 :$ ${\rm{tr}}\left( A \right) = 0$
Statement $-2 :$ $\det \left( A \right) = 1$