How is growth related to the slope of a linear function?
If y = mx + c, a linear function, its graph is a straight line.
The constant slope of the line is
Verbally, #y' is the rate at which y changes with respect to x.
It is the limit
If y increases as x increases, both
positive, and so, the limit #y' will be positive. So, locally it is growth.
If..y' is negative, it is locally decay. If y'=0, it is locally neither.