Question

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

Answer 1

Down and up

Explanation:

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