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12 cards from this deck
3
f(x)=ax3+bx2+cx+df(x)=ax^3+bx^2+cx+df(x)=ax3+bx2+cx+d
a≠0a \ne 0a=0
One or two
Three
Starts −∞-\infty−∞ (left), rises to +∞+\infty+∞ (right)
Starts +∞+\infty+∞ (left), falls to −∞-\infty−∞ (right)
Where graph crosses xxx-axis, f(x)=0f(x)=0f(x)=0
One real root (and two complex roots)
Three real roots
Sign and magnitude of aaa
f(x)=0f(x)=0f(x)=0
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