A cubic function has a constant 3rd difference find a functi

A cubic function has a constant 3rd difference. find a function with a constant 3rd difference of 3 and y intercept -2. Find the Equation. Find the roots.

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Solution

Since the constant 3rd difference is 3

we know that   constant difference = a *n!

here n is cubic so we have n= 3

so we will find a

3=a*3!

3=6a

a=1/2

now y intercepts   y=-2

so we will have

y= 1/2x^3 -2   answer