How do you find the end behavior of $9 x^{5} - 8 x^{3} + 4 x$ $9x^5 - 8x^3 + 4x$ ?

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How do you find the end behavior of $9 x^{5} - 8 x^{3} + 4 x$ $9x^5 - 8x^3 + 4x$ ?

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Answer 1 · 2017-02-09T21:13:19

See below.

Explanation:

The end behaviour of $9 x^{5} - 8 x^{3} + 4 x$ $9x^5 - 8x^3 + 4x$ will be determined by the leading (dominant) term $9 x^{5}$ $9x^5$ .

Ie for $| x | >> 0$ $abs x ">>" 0$ , we have $y \approx 9 x^{5}$ $y approx 9x^5$ . The right and left ends of this graph (which is of $y = 9 x^{5}$ $y = 9x^5$ ) will, therefore, show how the function operates as $x \to \pm \infty$ $x to pm oo$

graph{9x^5 [-3.796, 3.817, -1.905, 1.904]}

The full function looks like this:

graph{9x^5 - 8x^3 + 4x [-3.796, 3.817, -1.905, 1.904]}

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How do you find the end behavior of $9 x^{5} - 8 x^{3} + 4 x$ $9x^5 - 8x^3 + 4x$ ?

1 Answer

Explanation:

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How do you find the end behavior of 9x5−8x3+4x9x^5 - 8x^3 + 4x?

1 Answer

Explanation:

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How do you find the end behavior of $9 x^{5} - 8 x^{3} + 4 x$ $9x^5 - 8x^3 + 4x$ ?