Explain in a variety of ways how you can distinguish the exponential function f(x)=2^x from the quadratic function f(x)=x^2 and linear function f(x)=2x. (Hint: Compare the rate of change using finite differences in table of values; identify a constant ratio in the table of values). (10 - marks)

Answer 1

I would make a sketch of each function on the same grid.
Also they told you what to do in the hint, why not do that?

Answer 2

I do not know how to do the hint.