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Luv2Teach
Because it's an odd function, the "tails" go off in different directions.  Also, because it's a negative function, the left starts from the upper left and the right goes down into negative infinity.  If it was a positive, the tails would be going in the other directions, meaning that the left would come up from negative infinity and the right would go up into positive infinity.

To identify the end behavior the graph for given polynomial function.

The odd function is defined as the function which return their negative when we place [tex]-x[/tex]  for [tex]x[/tex].

Given:

The given polynomial function is [tex]f(x)=-x^5+9x^4-18x^3[/tex].

The given function [tex]f(x)[/tex] should be odd function because it has fifth degree. As per odd function definition its leads to negative coefficient.  

For the negative coefficient, the end behavior of graph would be as follows.

  1. As x approaches ∞, y approaches -∞
  2. At right side of the graph , f(x) goes down
  3. As x approaches -∞, y approaches ∞
  4. At left side of the graph, f(x) goes up

Learn more about odd function here:

https://brainly.com/question/9626176

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