What is the end behavior for #F(x)=x^3 -5x+1 #?

1 Answer
Oct 31, 2015

Down and up


Since the sign of the leading coefficient is positive and the highest degree is odd (3), then the graph will have an end behavior of down and up (down at the beginning, up at the end).

graph{x^3-5x+1 [-9.455, 10.545, -4.28, 5.72]}

Positive-odd= down-up
Negative-odd= up-down
Positive-even= up-up
Negative-even = down-down