anonymous
  • 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
Algebra
schrodinger
  • schrodinger
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anonymous
  • anonymous
What do you think?
anonymous
  • anonymous
-3x5?
anonymous
  • anonymous
Yes correct

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anonymous
  • anonymous
3?
anonymous
  • anonymous
Idk, I'm confused.
anonymous
  • anonymous
Since n is odd and a is negative the end behavior is up and down
anonymous
  • anonymous
3 = odd
anonymous
  • anonymous
Where did you get n and a from?
anonymous
  • anonymous
n = 3 a = -3
anonymous
  • anonymous
Oh okay, so how do we find the end behavior?
anonymous
  • anonymous
Great link that describes end behavior https://www.youtube.com/watch?v=PbSJHr-fg7I
anonymous
  • anonymous
Ok, can you still help me with the question? @Nixy
anonymous
  • 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
  • anonymous
So as x -> infinity, it will go up and then down
anonymous
  • anonymous
So the end behavior is....?
anonymous
  • anonymous
Up and down?

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