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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.
.what is the average rate of change if f(x) = 4x + 6 .
Actually these problems are variants of the Distance/Rate problems which we just got done working. The standard equation which will be required for these problems is, As y
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write the following function x^2-2x-1 in the form of y=a(x-h)^2+k
How did they get an answer of 4.24899(-6) the question isc=4d(-1)/3.b. I now i substitute 23,245 for d and 13.5 for b, but don''t understand how they got this answer?
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Logarithm form In this definition y = log b x is called the logarithm form Exponential form In this definition b y = x is called the exponential form.
Next we desire to take a look at f (x ) =√x . First, note that as we don't desire to get complex numbers out of a function evaluation we ought to limit the values of x that we can
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