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In the last two sections of this chapter we desire to discuss solving equations & inequalities that have absolute values. We will look at equations along with absolute value in them in this section.
However, before solving first we must have a brief discussion of just what absolute value is.
The notation for the absolute value of p is |p|. Note as well that the absolute value bars are not parentheses and in several cases don't act as parentheses so be careful with them.
There are two ways to describe absolute value. There is geometric definition & a mathematical definition. We will look at both.
-3t^2+15t-18
2x-3(2x+7)=-13
The last topic that we have to discuss in this section is the change of base formula. Most of the calculators these days are able of evaluating common logarithms & natural logar
Each side of a square is increased 4 inches. When this happens, the area is multiplied by 25. How many inches in the side of the original square?
1/1+x+1/y+1/1+z+1/x+1/1+y+1/z=1
Horizontal Shifts These are quite simple as well though there is one bit where we have to be careful. Given the graph of f ( x ) the graph of g ( x ) = f ( x + c ) will be t
Have a % 56% discount have the amount of 285.13 what was the amount used to get to 285.13? How did you get?
By using transformations sketch the graph of the given functions. g ( x ) = x 2 + 3 Solution Here the first thing to do is graph the function wit
Let's begin with x 2 + bx and notice that the x 2 hold a coefficient of one. That is needed in order to do this. Now,
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
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