Scribe # ??

Hello. This is Regine, the scribe for today. Formally known as..well, I don't know what I'm formally known as. Point is, I don't like math. But that doesn't matter.haha. I like lavender..

Anyways, on with the lesson for today...

Graphing Reciprocal Functions.


There are five simple rules on how to graph reciprocal functions. As Mr.Ingram states, if you follow these rules, you'll have no problem with the graphing.

1. Where the value of the original function is Zero, the value of the reciprocal is undefined, so
you have a vertical asymptote.

2. Where the value of the orginal function is 1, the reciprocal will be 1.
Where the value of the original function is -1, the reciprocal will be -1.

3. Where the value of the original is positive, the reciprocal will be positive.
Where the value of the original is negative, the reciprocal will be negative.

4. If the value of the original is increasing over an interval, the reciprocal will decrease over that interval.

5. As the absolute value of the original function approaches zero, the absolute value of the reciprocal function gets larger.

Examples


f(x) = x - 2 graph f^-1(x)





f(x)=x^2+2

Reciprocal:








Graph f^-1(x)








Graph sin(x) and f^1(x)






Anyways. That's the end of it. Sorry guys. I'm too lazy to go indepth. If I do, this blog will be about six pages long.haha. So to save you time and..time. Just stay in school and listen in class.


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KAT L.