Step 1:
\General form of exponential functions
When ,
increasing.
,
decreasing.
The function is increasing.
The function is increasing.
The function is decreasing.
The function is increasing.
Step 2:
\To graph the functions find the coordinate pairs.
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Graph:
\
Observe the all graphs are passes through .
The base of the exponential function gets larger, the exponential function grows more rapidly(for
).
Solution:
\The base of the exponential function gets larger, the exponential function grows more rapidly(for
).