Cubic graph y = x³
Equation: y = x^3
y = x³ is odd, so the graph is symmetric about the origin. y′ = 3x² ≥ 0 so it increases on ℝ.
Compare with y = x³ − 3x to see turning points appear once a lower-degree term is added.
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y =
Equation: y = x^3
y = x³ is odd, so the graph is symmetric about the origin. y′ = 3x² ≥ 0 so it increases on ℝ.
Compare with y = x³ − 3x to see turning points appear once a lower-degree term is added.