Sketch the curve. $y=3 x^{3}+3 x$

Question

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The given equation is in the form of a polynomial with degree 3, which means it is a cubic equation. Cubic equations have a characteristic shape of an "S" curve with a local maximum and minimum. Option B represents this shape accurately. Option A shows a polynomial of degree 2 (quadratic) with a parabolic shape, and option C shows a polynomial of degree 4 with two local maxima and minima, which is not consistent with the given equation.

Sketch the Curve y=3x3+3xy=3 x^{3}+3 xy=3x3+3x A) B) C)

Sketch the Curve $y=3 x^{3}+3 x$ A)
B)
C)