Question and Answers Forum

All Questions      Topic List

Algebra Questions

Previous in All Question      Next in All Question      

Previous in Algebra      Next in Algebra      

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

g(x)=3x−2.  determine a et b such that a ≤ g(x) ≤ b.

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

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

lim_(x→−∞) g(x)=−∞  lim_(x→+∞) g(x)=+∞  ⇒−∞<g(x)<+∞  i.e. g(x) has no minimum and no  maximum.  ⇒there are no a, b such that  a≤g(x)≤b

$$\underset{{x}\rightarrow−\infty} {\mathrm{lim}}{g}\left({x}\right)=−\infty \\ $$$$\underset{{x}\rightarrow+\infty} {\mathrm{lim}}{g}\left({x}\right)=+\infty \\ $$$$\Rightarrow−\infty<{g}\left({x}\right)<+\infty \\ $$$${i}.{e}.\:{g}\left({x}\right)\:{has}\:{no}\:{minimum}\:{and}\:{no} \\ $$$${maximum}. \\ $$$$\Rightarrow{there}\:{are}\:{no}\:{a},\:{b}\:{such}\:{that} \\ $$$${a}\leqslant{g}\left({x}\right)\leqslant{b} \\ $$

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

c est lequation dune droite donc g nest pas bornee...

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

Terms of Service

Privacy Policy

Contact: info@tinkutara.com