Question

Sendo a função k (f)=f²-10f+24 construa seu gráfico

Answer 1

$\large{\underbrace{Fun\c c \tilde{a}o~quadr\acute{a}tica}}$

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$\sf{k(f)=f^{2}-10f+24}$

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• Coeficientes

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$\sf{a=1}$

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$\sf{b=-10}$

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$\sf{c=24}$

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• Discriminante

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$\sf{\Delta=(-10)^{2}-4.(1).(24)}$

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$\sf{\Delta=100-96}$

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$\sf{\Delta=4}$

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• Raízes da função

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$\sf{x'=[-(-10)+\sqrt{4}]/2.(1)}$

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$\sf{x'=[10+2]/2}$

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$\sf{x'=12/2}$

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$\sf{\red{x'=6}}$

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$\sf{x"=[-(-10)-\sqrt{4}]/2.(1)}$

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$\sf{x"=[10-2]/2}$

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$\sf{x"=8/2}$

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$\sf{\red{x"=4}}$

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Logo as raízes serão : 4 e 6

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