1

I am trying to learn how different functions behave.

Arithmetic growth is when you add a constant to the previous value and its graph is a straight line. So, $y=2x$, for example, gives $y$ values: $2,4,6,8$, etc. where each successive $y$ value is found by adding $2$ to the previous $y$ value.

Exponential growth is different in that each successive $y$ value is found by MULTIPLYING the previous $y$ value by a constant. Example is $y=2^x$ ($2$ raised to the $x$ power).

Question: Given the way arithmetic and exponential growth behave, how can we describe quadratic growth (i.e. $y=x^2$). To me, this seems somewhere in the middle of arithmetic growth—adding a constant value to each successive $y$ value AND geometric growth, —-multiplying a constant value to each successive $y$ value, but I don't know exactly how to describe it.

Thanks for any help.

Ricky
  • 3,148
LouL
  • 21
  • You add twice the previous input (not value) + 1. – user7777777 Sep 08 '23 at 20:58
  • Exponential Function behavior: the rate of change is proportional to itself, and the graph increases at an increasing rate. Quadratic function: the rate of change is constant, i.e. the graph increases at a constant rate. – Anton Vrdoljak Sep 09 '23 at 06:05

0 Answers0