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MATHS CUBIC FUNCTIONS WRITE UP

Tell me about a cubic curve that has:

- no stationary points
N/A (need to come back to)
Conclusion: no cubic functions found

- has 2 stationary points: one when X=2 and one when X=5
General function
F(b)= a(X-5)^2(X-0.5) + b
Where: a Doesn't equal 0

- has a local minimum when x=-1
General function
F(c)= a(X+1)^2(X+5.5)+b
Where: a>0

- has a local minimum when X=-2 and a local maximum when x=4
General function
F(d)=