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1-f-x-2x-3-5x-2-10x-5-1-2-2-h-x-x-4-x-3-2-0-check-the-given-function-have-at-least-one-sol-over-the-given-intervals-by-using-intermediate-value-theorem-




Question Number 125848 by zarminaawan last updated on 14/Dec/20
1)     f(x)=2x^3 −5x^2 −10x+5     [−1,2]  2)     h(x)=x^4 +x−3        [−2,0]  check the given function have at least one sol over the given intervals by using intermediate value theorem
$$\left.\mathrm{1}\right)\:\:\:\:\:{f}\left({x}\right)=\mathrm{2}{x}^{\mathrm{3}} −\mathrm{5}{x}^{\mathrm{2}} −\mathrm{10}{x}+\mathrm{5}\:\:\:\:\:\left[−\mathrm{1},\mathrm{2}\right] \\ $$$$\left.\mathrm{2}\right)\:\:\:\:\:{h}\left({x}\right)={x}^{\mathrm{4}} +{x}−\mathrm{3}\:\:\:\:\:\:\:\:\left[−\mathrm{2},\mathrm{0}\right] \\ $$$${check}\:{the}\:{given}\:{function}\:{have}\:{at}\:{least}\:{one}\:{sol}\:{over}\:{the}\:{given}\:{intervals}\:{by}\:{using}\:{intermediate}\:{value}\:{theorem} \\ $$

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