Tuesday, March 6, 2012

Graphing Reciprocal Functions 1


Hola! This is Aliana :3 and I’m going to refresh your memory about Graphing Reciprocal Functions  that we have discussed and finished before the long weekend just in case you guys still have a hangover from the weekend lol jk so let’s get started.

Here are the things that you should take note:

·        Remember the two forms of equation:  
·         >There will be an asymptote at the value for x that makes the function undefined -this is called a vertical asymptote. In basic form the VA is always at x=0.

·        >There will also be an asymptote at the value for y that is no longer able to occur due to the unacceptable value for x (VA) – this is called an horizontal asymptote The basic form of the HA is always at y=0.

·       > If the graph is shifted, read horizontal shifts (H VALUES) as opposite of what is given and vertical shifts (K VALUES) as is. Even though there is no bracket around the x-h – act as if there is!


Ø  For example if the equation is 1/x+2, then the x would be read as -2 and this is where the vertical asymptote will be placed. *look at the image below*
     Ø  Another example if the equation is (1/x-2) + 3, Then 3 will be read as is and this is where the asymptote will be placed. *look at the image below*



·       >  If the graph is shifted the VA will always be at x = h and the HA will always be at y=k

Example: So here’s one of the examples from our booklets and I’m going to show you how to solve it step by step.

      

1.       Identify the asymptotes and put a mark on where it lies.

2.      Pick points on the left and right side of the asymptote and that will be your x-values.  Then to get the y-values, Plug in the x-values into the equation.

             3.     Last step, Plot the points and then connect it. Take note that the lines that you will make should
not pass or hit the asymptote/s.



And that's all. Goodluck!







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