SOLUTION: 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 ->  Rational-functions -> SOLUTION: 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       Log On


   



Question 1052716: 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

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The leading term is -3x^5.
If x increases to positive infinity, the function will be negative.
If x decreases to negative infinity, the function will be positive.
Because x^5 is so much greater than any lower power at large numbers, the first term drives the end behavior.
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