Use an end behavior diagram, , , , or , to describe the end be...

Question

Use an end behavior diagram,  ,  , , or  , to describe the end behavior of the graph of each polynomial function. See Example 2. ƒ(x)=3+2x-4x^2-5x^10

Accepted Answer

Determined the end behavior of the graph of the following function F of X equals five plus seven X minus 27 X to the second minus 13 X to the 12th. Now, to solve this, we want to rewrite our function with the highest degree first. So we have F of X equals negative 13 X to the 12th verse minus 27 X to the second plus seven X plus five. Let's find our highest degree and our leading coefficient high is the degree will be 12 which is even are leaving coefficient is negative 13. Now we have an even the Greek and a negative leading coefficient and even the tells us that as X approaches infinity or negative infinity, our F effect should approach the same direction, either positive infinity or negative infinity are leaving coefficient is negative, which means our in behavior should be pointing downwards. This means then our graph most likely looks something like a parabola facing downwards, which means as X approaches infinity, F of X will approach negative infinity. And as X approaches negative infinity, F of X will still approach negative infinity. We notice this answer is the same as answer. D ok. I hope to help you solve the problem. Thank you for watching. Goodbye.

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Use an end behavior diagram, , , , or , to describe the end behavior of the graph of each polynomial function. See Example 2. ƒ(x)=3+2x-4x^2-5x^10