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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 .

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