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General approach of Exponential Functions :Before getting to this function let's take a much more general approach to things. Let's begin with b = 0 , b ≠ 1. Then an exponential function is a function in the form,
f( x ) = b x
Note that we avoid b = 1 since that would give the constant function, f( x ) = 1 . We ignore
b= 0 as this would also give a constant function and we ignore negative values of b for the following cause. Let's, for a second, assume that we did let b to be negative and look at the given function.
g( x ) = ( -4)x
Let's perform some evaluation.
g( 2)= ( -4)2 =16 g (1/2) = ( -4)2 =√ -4 = 2i
hence, for some values of x we will obtain real numbers and for other values of x well we get complex numbers. We desire to avoid this and thus if we require b = 0 this will not be a problem.
1. Show that there do not exist integers x and y for which 110x + 315y = 12. 2. If a and b are odd integers, prove that a 2 +b 2 is divisible by 2 but is NOT divisible by 4. H
Let R be the relation on S = {1, 2, 3, 4, 5} defined by R = {(1,3); (1, 1); (3, 1); (1, 2); (3, 3); (4, 4)}. (b) Write down the matrix of R. (c) Draw the digraph of R.
sin3xcos5xdx
round each number to the nearest half 2 over 5
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The hole set of irrational and rational numbers is the set of real numbers and is representing by R. Thus, the real numbers can also be describe in terms of position of a point on
use an expression to write an expression with five 3s that has a value of 0
There isn't actually a whole lot to this section this is mainly here thus we can get several basic concepts and definitions out of the way. Most of the concepts and definitions in
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