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the base b in exponential functions has to be
positive, cannot be zero or one
the coefficient a
can’t be zero
Basic features of the exponential function
The domain is all values of x
The range is y > 0
The x axis is an asymptote of the graph
In an exponential function, as x increases,
the function increases if b > 1 and decreases if b < 1
Exponential functions with larger negative coefficients
decay to zero faster (looks steeper on the graph)
Exponential functions with larger positive coefficients
grow at a faster rate