Question

For the 4 types of functions below, give a short real life example for just one of the types of functions, and then match the type of function with it's identifying characteristic, for equally spaced x values in a chart:
linear-------------> 1. The y-ratios are equal
quadratic -----> 2. The y-differences are equal
cubic ------------> 3. The 2nd differences are equal
exponential---> 4. The 3rd differences are equal

Answer 1

For linear, the y-differences are equal. An example is the total cost of buying a single type of item.
Quadratic - the 2nd differences are equal,. Example: path of a kicked ball
Cubic - the 3rd differences are equal. Example: modeling the shapes of vases or curved designs
Exponential - the y-ratios are equal. Example: growth of bacteria