Question

MEDALS

How can you tell the similarities and differences between two exponential functions?

Answer 1

A linear function grows ( or shrinks) at a constant rate called its slope.
An exponential function grows ( or shrinks) at a rate which increases(or decreases)
over time. From a practical standpoint linear growth (or shrinkage) is simple and predictable. Exponential growth is essentially out of control and unsustainable
and exponential decay soon becomes negligible.
if y=az + b then y is a linear function of z. If y=aebz then y is an exponential function of z. If y= acbz then y is still an exponential function of z because you can substitute c=ek (so that k=logec) to give you y=aekbz .