Grade 12 Advanced Functions help please!
Use the degree and the sign of the leading coefficient to determine the value of the constant finite differences.

f(x) = -4x^3 +2x^2 - x +5

Question

Grade 12 Advanced Functions help please!
Use the degree and the sign of the leading coefficient to determine the value of the constant finite differences.

f(x) = -4x^3 +2x^2 - x +5

pottersheep · Answer

How do I do that? I know the degree is 3, and the sign is negative...

Thanks!

anonymous · Answer

I don't know what constant finite diff. Is but  i think it will be -2x. I got this by dividing the first term by the second term

pottersheep · Answer

no that's not the answer but thanks anyways

pottersheep · Answer

Does anyone else know?

anonymous · Answer

using calculas .

anonymous · Answer

is that ok?

anonymous · Answer

It can be done without calculus.

anonymous · Answer

sure

anonymous · Answer

You can make a long table of values

anonymous · Answer

I think a short-cut is to multiply the leading coefficient by twice the degree.

anonymous · Answer

It works for this example and another that I tried, but it might not work in all cases.

anonymous · Answer

-4x3x2x1

anonymous · Answer

Since the degree of the function is 3 . we look at -4x^3

anonymous · Answer

the 3th diferences are constant.

pottersheep · Answer

Thanks ~ I haven't taken calculus yet so I just had to make really long tables for all of my questions. I got the right answers tho! :)