# Behaviour of polynomials at their zeroes

Algebra Level 3

Let $$f(x) = x^3+1$$. Then, what is the behavior of the function at $$(-1,0)$$

Note: In the image given above the graph of a function $$f(x) = (x-1)^2(x-3)$$ is shown. Here, the graph of the function touches $$x$$-axis at the point $$(1,0)$$ whereas it crosses $$x$$-axis at the point $$(3,0)$$. (This note has been provided to clarify the diffrence between touching and crossing the $$x$$-axis, the function given in note has no relation to the question)

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