Question

What type of function is represented in the table?



exponential
logarithmic
linear
quadratic

Answer 1

I don't see the table — could you paste the x and y values?

If you want to decide on your own, here are quick tests you can run on the table values:

- Linear: the first differences (y2−y1, y3−y2, ...) are all the same constant.
- Quadratic: the first differences are not constant but the second differences (differences of the first differences) are constant.
- Exponential: the successive ratios (y2/y1, y3/y2, ...) are all the same constant (equivalently log(y) vs x is linear).
- Logarithmic: neither constant differences nor constant ratios; y increases (or decreases) quickly at small x then levels off. A check: y vs ln(x) will be approximately linear.

If you paste the table I’ll run the checks and tell you which type it is.