Year 12 Calculus max/min point to find equation ( HELP PLS ! )

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question: A function has a maximum turning point at x=2 and a minimum turning point at x=-1. The function passes through the point (3,10) where it has a gradient of -8. Find the equation of the function.

- Can you guys go through each step
- Thanks for helping !

 

[Deleted member 4993]

question: A function has a maximum turning point at x=2 and a minimum turning point at x=-1. The function passes through the point (3,10) where it has a gradient of -8. Find the equation of the function.

- Can you guys go through each step
- Thanks for helping !

Hint : since your function has one local maxima and one local minima - it must be a cubic function.

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