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

1 Answer
Eddie
Feb 9, 2017

See below.

Explanation:

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

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