If $f (x) =$ $\left[ \begin{gathered} {x^2}\,\,\,\,\,\,\,\,\,\,\,\,if\,\,\,\,x \leqslant \,{x_0} \hfill \\
ax + b\,\,\,\,\,if\,\,\,\,x\, > \,{x_0} \hfill \\ \end{gathered} \right.$ derivable $\forall \,x\, \in \,R\,\,$ then the values of $a$ and $b$ are respectively
- A$2x_0 , - $ $x_0^2\,$
- B$- x_0 , 2 $ $x_0^2\,$
- C$- 2x_0 , -$ $x_0^2\,$
- D$2x_0^2\,$ , $- x_0$
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- [AIEEE 2011]
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Which of the following function is surjective but not injective
Which of the following function is surjective but not injective
Show that the function $f: N \rightarrow N$ given by $f(x)=2 x,$ is one-one but not onto.
Show that the function $f: N \rightarrow N$ given by $f(x)=2 x,$ is one-one but not onto.