Question

What type of function is represented in the table?



exponential
logarithmic
linear
quadrati

Answer 1

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

Meanwhile, here’s how to identify the type from a table:

- Linear: first differences (y2−y1, y3−y2, …) are constant. Example: y = 2x + 1 gives y = 3, 5, 7, 9 → differences 2, 2, 2.
- Quadratic: first differences are not constant but second differences (differences of the first differences) are constant. Example: y = x^2 gives y = 1, 4, 9, 16 → first diffs 3, 5, 7 → second diffs 2, 2.
- Exponential: ratios (y2/y1, y3/y2, …) are constant (multiplicative growth). Example: y = 3·2^x gives y = 3, 6, 12, 24 → ratios 2, 2, 2.
- Logarithmic: grows quickly at first then levels off; neither first differences nor ratios are constant. First differences decrease as x increases (but not in a constant second-difference way). Example: y = log(x) has y values that increase more slowly each step.

If you paste the table values I’ll test them and tell you which type fits.