How do you sketch the general shape of $f (x) = x^{3} - 4 x^{2} + 2$ $f(x)=x^3-4x^2+2$ using end behavior?

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How do you sketch the general shape of $f (x) = x^{3} - 4 x^{2} + 2$ $f(x)=x^3-4x^2+2$ using end behavior?

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Answer 1 · 2017-08-25T19:48:18

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

Explanation:

$to obtain the general shape of a polynomial using end$ $"to obtain the general shape of a polynomial using end"$
$behaviour consider the degree and leading coefficient$ $"behaviour consider the degree and leading coefficient"$
$of the polynomial in standard form$ $"of the polynomial in standard form"$

$here degree is odd and leading coefficient is positive$ $"here degree is odd and leading coefficient is positive"$

$∙ odd degree, positive leading coefficient$ $• " odd degree, positive leading coefficient"$

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

$x \to + \infty, f (x) \to + \infty$ $xto+oo,f(x)to+oo$
graph{x^3-4x^2+2 [-20, 20, -10, 10]}

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How do you sketch the general shape of $f (x) = x^{3} - 4 x^{2} + 2$ $f(x)=x^3-4x^2+2$ using end behavior?

1 Answer

Explanation:

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How do you sketch the general shape of f(x)=x^3-4x^2+2f(x)=x3−4x2+2f(x)=x^3-4x^2+2 using end behavior?

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How do you sketch the general shape of $f (x) = x^{3} - 4 x^{2} + 2$ $f(x)=x^3-4x^2+2$ using end behavior?