The table below represents the number of math problems Jana completed as a function of the number of minutes since she began doi
ng her homework. Does this situation represent a linear or non-linear function, and why? Jana’s Math Homework Progress
Minutes
Math Problems Completed
1
3
2
7
3
12
4
16
5
19
It represents a linear function because there is a constant rate of change.
It represents a linear function because there is not a constant rate of change.
It represents a non-linear function because there is a constant rate of change.
It represents a non-linear function because there is not a constant rate of change.
An inflection point is a point on the graph of a function at which the concavity changes. Points of inflection can occur where the second derivative is zero.