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- anonymous

Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and provide the leading term.
-3x5 + 9x4 + 5x3 + 3

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- anonymous

- schrodinger

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- anonymous

What do you think?

- anonymous

-3x5?

- anonymous

Yes correct

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- anonymous

3?

- anonymous

Idk, I'm confused.

- anonymous

Since n is odd and a is negative the end behavior is up and down

- anonymous

3 = odd

- anonymous

Where did you get n and a from?

- anonymous

n = 3
a = -3

- anonymous

Oh okay, so how do we find the end behavior?

- anonymous

Great link that describes end behavior
https://www.youtube.com/watch?v=PbSJHr-fg7I

- anonymous

Ok, can you still help me with the question? @Nixy

- anonymous

As you plugin positive numbers for x what happens? If you start with 0 for x the graph will go up but since we have a - for a and and odd for n (3) it will first go up starting at 0 and then it will start going down at some point. That is why the answer is
Since n is odd and a is negative the end behavior is up and down

- anonymous

So as x -> infinity, it will go up and then down

- anonymous

So the end behavior is....?

- anonymous

Up and down?

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