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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