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Question Number 171008 by Mastermind last updated on 06/Jun/22

$$Findthemaximumandminimum$$$$valuesofh\left(x\right)=\frac{4}{3}{x}^3+\frac{9}{2}{x}^2+5x+8.$$$$$$$$Mastermind$$

Commented by mr W last updated on 06/Jun/22

$$\underset{x\to -\mathrm{\infty }}{\lim }h\left(x\right)=-\mathrm{\infty }$$$$\underset{x\to +\mathrm{\infty }}{\lim }h\left(x\right)=+\mathrm{\infty }$$$$\Rightarrow h\left(x\right)hasnominimumormaximum!$$$$itcangetanyvaluein(-\mathrm{\infty },+\mathrm{\infty }).$$

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