What is the end behavior of $f (x) = - 2 x^{3} + 5 x^{2}$ $f(x)=-2x^3+5x^2$ ?

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What is the end behavior of $f (x) = - 2 x^{3} + 5 x^{2}$ $f(x)=-2x^3+5x^2$ ?

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Answer 1 · 2017-08-21T20:31:25

$x \to + \infty, f (x) \to - \infty$ $xto+oo,f(x)to-oo$
$x \to - \infty, f (x) \to + \infty$ $xto-oo,f(x)to+oo$

Explanation:

$consider the term of highest degree in standard form$ $"consider the term of highest degree in standard form"$

$\Rightarrow - 2 x^{3} \leftarrow of degree 3$ $rArr-2x^3larr" of degree 3"$

$∙ x odd degree with negative leading coefficient$ $•color(white)(x)" odd degree with negative leading coefficient"$

$as x \to - \infty, f (x) \to + \infty$ $"as "xto-oo,f(x)to+oo$

$as x \to + \infty, f (x) \to - \infty$ $"as "xto+oo,f(x)to-oo$
graph{-2x^3+5x^2 [-10, 10, -5, 5]}

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What is the end behavior of $f (x) = - 2 x^{3} + 5 x^{2}$ $f(x)=-2x^3+5x^2$ ?

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Explanation:

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Science

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Humanities

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What is the end behavior of f(x)=-2x^3+5x^2f(x)=−2x3+5x2f(x)=-2x^3+5x^2?

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Explanation:

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What is the end behavior of $f (x) = - 2 x^{3} + 5 x^{2}$ $f(x)=-2x^3+5x^2$ ?