SOLUTION: PLEASE HELP!! examine the leading term and determine the far-left and far-right behavior of the graph of the polynomial function. P(x)=3x^4-2x^2-7x+1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: PLEASE HELP!! examine the leading term and determine the far-left and far-right behavior of the graph of the polynomial function. P(x)=3x^4-2x^2-7x+1      Log On


   



Question 1051076: PLEASE HELP!!
examine the leading term and determine the far-left and far-right behavior of the graph of
the polynomial function.
P(x)=3x^4-2x^2-7x+1

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
When x becomes very large, x^4 term drives the equation. The other terms become insignificant.
When x is very large positive, x^4 is positive. When x^4 is very large negative, (-x)^4 is also positive. The function will be W shaped or U shaped, here U shaped.
graph%28300%2C200%2C-20%2C20%2C-10%2C100%2C3x%5E4-2x%5E2-7x%2B1%29