## Thursday, March 5, 2009

### graphing reciprocal functions

Hi, this is ALE in today class we learned how to graph reciprocal function. We first started with some workshop exercise. we were asked to sketch

( the solution to these two exercise are on Mr K slides of March 5, 2009)

the most important thing is to remember that a multiplicative inverse of an number also called reciprocal is defined by the formula one over that number.

In other word the reciprocal function p can be defined by the rule

p(x)= 1/x

For example if given: 1; 2; 3; 25 ; 45; 999999n their reciprocal will be

1/1 for 1 1/2 for 2, 1/3 for 3 1/25 for 25 1/45 for 45 and 1/999999 for 999999

we also have to remember when dealing with inverses that as the number of the first raw are bigering the number on the second raw are smollaring in our example we have the case of 1, 2, 3 are begering and the number 1/1=1 , 1/2= 0.5 and 1/3= 0.33333 smollaring

After talking about the reciprocal function we also learned about how to graph them. there are different steps

• draw the original graph of the function before transformation
• then diffine the invariant points (Point that don't move or change after the transformation into reciprocal function)
• determine the roots of the function or the vertical assymptote (values that makes the denominator equal to zero)
• After defining the assymptote, manupulate the game of biggering and smallering