Question

What type of function is represented in the table?



logarithmic
quadratic
exponential
linear

Answer 1

I don't see the table — could you paste the x and y values? I can identify the type once I see the numbers.

Meanwhile, here are quick tests you can do yourself:

- Linear: compute first differences (Δy = y2−y1). If Δy is constant for all equal x-steps, it's linear.
- Quadratic: if first differences are not constant but the second differences (differences of the first differences) are constant, it's quadratic.
- Exponential: compute successive ratios (y2/y1). If the ratio is constant for equal x-steps, it's exponential (y multiplies by a fixed factor each step).
- Logarithmic: y increases quickly at small x then levels off; first differences decrease but neither first nor second differences are constant. A practical test: plot y versus ln(x) (or check linearity of y against ln(x)); if that is roughly linear (and x>0), the function is logarithmic.

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