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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.
Write this decimal as a percent. .35
The title of this section is perhaps a little misleading. The title appears to imply that we're going to look at equations which involve any radicals. However, we are going to li
4(x)^2-40x+107 in standard form
Alex lives .4 miles from the park, beth lives .8 miles from the park. To run equal distances Alex runs 8 times around the park and Beth run 6 times around the part. Write an equati
Find out the domain of each of the following functions. g( x ) = x+3 /x 2 + 3x -10 Solution The domain for this function is all of the values of x for which we don't hav
factor=(a+b2)+1
Find g(f(h(-3))). f(x) = 2x -- g(x) = -3x+4 -- h(x) = -2x-8
Example: prove that the roots of the below given polynomial satisfy the rational root theorem. P ( x ) = 12x 3 - 41x 2 - 38x + 40 = ( x - 4) (3x - 2) ( 4x +5) Solution
(x^6-13x+42)/(x^3-7)
We've dealt along with this function many times already. Now it's time to graph it. First, let's remember ourselves of the definition of the absolute value function. It is a pie
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