Whats the question
It is about relation and inverse of relation
What I am wondering is how the two lines in the graph are inverses of each other?
Do u understand the inverse function?
If \((a,b)\) is a point on \(f(x)\), then \((b,a)\) will be a point on its inverse.
Next, recall the transformation rule for reflection over line \(y=x\) : \[(x,y)\longrightarrow (y,x)\]
i dont understand. if you understand the inverse function, why wouldn't the graph make sense?
so, if two graphs are "symmetric" about the straight line \(y=x\), then they must be inverses of each other
I don't understand the shape of the graph, how can you tell if it is inverse?
lets do couple of quick examples maybe
lets find inverse of below graph : |dw:1439961068302:dw|
Clearly, there is no easy way to find the inverse algebraically, you're forced to use geometry here
can you guess how the graph of inverse should look like ?
That's a very good "wrong" guess, remember, we want to reflect it over line \(y=x\), not over x axis
let me just give you the answer, maybe you can try next example ok
Actually I know it, can I get one more try?
that is a more better graph ^ observe that the line \(y=x\) passes through the origin
Ok right :)
I see that you get it, wana do one more example ?
I'm gonna make it complicated