I'm not sure what it means by "This is similar to the difference between a positive and negative slope for linear functions". I think maybe connecting exponential growth to a positive slope and decay to negative slope? But if we plugged in other points, like -2 for instance, then the (a) would have an output smaller than the base and (b) would have an output larger and the idea would be reversed? I guess I'm not sure what was motivating the remark.
Link: Remark 5.1.6
I'm not sure what it means by "This is similar to the difference between a positive and negative slope for linear functions". I think maybe connecting exponential growth to a positive slope and decay to negative slope? But if we plugged in other points, like -2 for instance, then the (a) would have an output smaller than the base and (b) would have an output larger and the idea would be reversed? I guess I'm not sure what was motivating the remark.