Question 253932: I have a problem that says describe the end behavior of the graph of the polynomial function by completing these statements f(x)-> ? as x -> - infinity and f(x)-> ? as x-> + infinity
the problem is f(x)= -x^6+2x^3-x
Answer by MRperkins(300)   (Show Source):
You can put this solution on YOUR website! Ok, the highest degree is 6. Therefore the highest term is even. Therefore it will mimic a parabola at the ends of the function. The number in front of the highest degree term is negative, so this means that it will open downward. There are no values of x that are not possible. So as x approaches negative infinity, f(x) approaches negative infinity and as x approaches infinity, f(x) approaches negative infinity.
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email me at justin.sheppard.tech@hotmail.com if you need more help.
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Justin
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