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Exponential function
As a last topic in this section we have to discuss a special exponential function. Actually this is so special that for several people it is THE exponential function. Following it is,
f( x ) = ex
where e = 2.718281828...... . Note the difference among f( x )= b x and f( x ) = ex . In the primary case b is any number which is meets the limitation given above whereas e is a very specific number. Also note that e is not a terminating decimal.
This special exponential function is extremely important & arises obviously in several areas. As noted above, this function arises so frequently that several people will think of this function if you talk regarding exponential functions. Let's get a quick graph of this function.
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1. Determine the intercepts, if there are any. Recall that the y-intercept is specified by (0, f (0)) and we determine the x-intercepts by setting the numerator equivalent to z
7 ?(2+N)2 N=0
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