What is the end behavior of the graph of the polynomial function f(x) = –x5 + 9x4 – 18x3?

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  for .

Given:

The given polynomial function is .

The given function 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.

Learn more about odd function here:

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the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).

x^3-4x^2+3x-2/x^2+1

step-by-step explanation:

factor the numerator and denominator and cancel the common factors