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Question Number 130442 by greg_ed last updated on 25/Jan/21

$$g\left(x\right)=3x-2.$$$$\mathrm{determine}a\mathrm{et}b\mathrm{such}\mathrm{that}a⩽g\left(x\right)⩽b.$$

Answered by mr W last updated on 25/Jan/21

$$\underset{x\to -\mathrm{\infty }}{\lim }g\left(x\right)=-\mathrm{\infty }$$$$\underset{x\to +\mathrm{\infty }}{\lim }g\left(x\right)=+\mathrm{\infty }$$$$\Rightarrow -\mathrm{\infty }<g\left(x\right)<+\mathrm{\infty }$$$$i.e.g\left(x\right)hasnominimumandno$$$$maximum.$$$$\Rightarrow therearenoa,bsuchthat$$$$a⩽g\left(x\right)⩽b$$

Answered by mathmax by abdo last updated on 25/Jan/21

$$\mathrm{c}\mathrm{est}\mathrm{lequation}\mathrm{dune}\mathrm{droite}\mathrm{donc}\mathrm{g}\mathrm{nest}\mathrm{pas}\mathrm{bornee}...$$

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