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 ->  Polynomials-and-rational-expressions -> 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 1022239: 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 jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The leading term is -3x^5. The degree is 5 since this is the largest exponent. Because the degree is odd, this means that one side of the graph will rise, the other will fall. In this case, the left side rises while the right side falls. The right side falls because the leading coefficient (which is -3) is negative.

As shown in the graph

+graph%28500%2C+500%2C+-10%2C+10%2C+-250%2C+250%2C+0%2C-3x%5E5%2B9x%5E4%2B5x%5E3%2B3%29+