Guessing the Graph

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?

Back Fitter

Stage: 4 Challenge Level:
Start by looking for data which can be matched to straightforward functions like a straight line, or a quadratic.

Which data sets oscillate? What functions do you know which oscillate?

If you are unfamiliar with the graphs of $y=a^x$ and $y=a^{-x}$ for different values of the constant $a$, try plotting them using graphing software or a graphical calculator.