There are two ways in which you can obtain results from a completed graph. One is by interpolation and the other is by extrapolation. What is the difference between these two terms and which one do you believe may lead to erroneous conclusions and why?

Question

My answer:
Interpolation is estimating the value of a quantity from known values on either side of it (the neighboring data). This is a mathematical method of creating missing data. Extrapolation is an explanation of unknown values by extending the curve from known values, that is into the future by assuming the known values will continue to behave as they have in the past.

Is this correct so far and which one leads to erroneous conclusions?

THanks

correct. The extrapolation can lead to serious error. Why? It is safe to be bounded on each side, but if one is extroplating into the unknown from one point...