Find quadratic regressive equation for the following f' points;

(x, f'(x)): (-4,74); (-3,39); -2,10; -1,-6; 0,-14; 1,-12; 2,0; 3,22; 4,55

It's something really complicated, and I'm later asked to find the original equation, which is a cubic function. Any idea on how I can do this? It's supposed to be on my calc test.

Thanks in advance!

2 answers

If you mean quadratic regression, I'd google the topic and read some of the articles. Hard to believe such a complicated process would be on a test under limited time.

At any rate, if you do find a quadratic f' = ax^2+bx+c, then clearly

f = a/3 x^2 + b/2 x^2 + cx + d

where d can be determined if given another piece of data.
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