Question Number 5597 by Rasheed Soomro last updated on 21/May/16
$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{degree}\:\mathrm{of}\:\mathrm{x}^{\mathrm{2}} +\mathrm{2}^{\mathrm{x}} \:? \\ $$$$\mathrm{Is}\:\mathrm{its}\:\mathrm{graph}\:\mathrm{parabola}? \\ $$
Commented by Rasheed Soomro last updated on 22/May/16
$$\mathbb{TH}\boldsymbol{\alpha{n}}\Bbbk\mathcal{S}! \\ $$
Commented by prakash jain last updated on 22/May/16
$$\mathrm{For}\:{x}>\mathrm{0}: \\ $$$$\mathrm{For}\:\mathrm{small}\:\mathrm{value}\:\mathrm{of}\:{x}\:\mathrm{it}\:\mathrm{will}\:\mathrm{look}\:\mathrm{like} \\ $$$$\mathrm{a}\:\mathrm{parabola}. \\ $$$$\mathrm{For}\:\mathrm{large}\:{x}\:\mathrm{2}^{{x}} \gg{x}^{\mathrm{2}} \:\mathrm{so}\:\mathrm{it}\:\mathrm{will}\:\mathrm{resemble}\:\mathrm{an}\: \\ $$$$\mathrm{exponential}\:\mathrm{function}. \\ $$
Commented by prakash jain last updated on 21/May/16
$$\mathrm{It}\:\mathrm{is}\:\mathrm{not}\:\mathrm{a}\:\mathrm{polynomial}. \\ $$$$\mathrm{It}\:\mathrm{is}\:\mathrm{a}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{polynomial}\:\mathrm{and}\:\mathrm{exponential} \\ $$$$\mathrm{function}. \\ $$
Commented by Rasheed Soomro last updated on 22/May/16
$$\mathrm{What}\:\mathrm{about}\:\mathrm{graph}?\:\mathrm{I}'\mathrm{ve}\:\mathrm{drawn}\:\mathrm{it} \\ $$$$\mathrm{it}\:\mathrm{is}\:\mathrm{like}\:\mathrm{a}\:\mathrm{parabola}.\:\mathrm{Is}\:\mathrm{it}\:\mathrm{really}\:\mathrm{parabola}? \\ $$