What is the end behavior of $f (x) = 4 x^{7} - 3 x^{2} + 5 x - 2$ $f(x)=4x^7-3x^2+5x-2$ ?

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What is the end behavior of $f (x) = 4 x^{7} - 3 x^{2} + 5 x - 2$ $f(x)=4x^7-3x^2+5x-2$ ?

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Answer 1 · 2017-01-04T05:03:56

As $x \to - \infty, f (x) \to - \infty$ $x->-oo,f(x)->-oo$
As $x \to \infty, f (x) \to \infty$ $x->oo,f(x)->oo$

Explanation:

This is the end behavior because the highest degree of the function is odd, meaning the function will approach different infinities. Also, the coefficient of the highest degree term ( $x^{7}$ $x^7$ ) is positive (4), so therefore this is the end behavior.

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What is the end behavior of $f (x) = 4 x^{7} - 3 x^{2} + 5 x - 2$ $f(x)=4x^7-3x^2+5x-2$ ?

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What is the end behavior of f(x)=4x^7-3x^2+5x-2f(x)=4x7−3x2+5x−2f(x)=4x^7-3x^2+5x-2?

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What is the end behavior of $f (x) = 4 x^{7} - 3 x^{2} + 5 x - 2$ $f(x)=4x^7-3x^2+5x-2$ ?