Question

What type of function is represented in the table?



logarithmic
linear
exponential
quadratic

Answer 1

I can’t determine the answer without the table. Please paste the x–y values.

If you want to check it yourself, use this quick checklist (assumes x values are equally spaced):

- Linear: first differences (Δy = y_{n+1} − y_n) are constant.
- Quadratic: first differences are not constant but second differences (Δ^2y) are constant.
- Exponential: ratios y_{n+1}/y_n are constant (for equal steps in x).
- Logarithmic: neither constant differences nor constant ratios; differences get smaller as x increases. Also a plot of y vs ln(x) will be approximately linear for a logarithmic function.

Transform tests:
- Take ln(y) vs x: linear → exponential y = a·b^x.
- Take y vs ln(x): linear → logarithmic y = a·ln(x)+c (or y = a·log_b(x)+c).
- Take y vs x^2: linear → quadratic y = ax^2+bx+c.

Paste the table and I’ll identify which fits.