What is the function for this type of graph?
I don't know how there can be two graphs.

Question

What is the function for this type of graph? 
I don't know how there can be two graphs.

jh99 · Answer

attachment

kinged · Answer

It's the negative of the rational function: $$-(\frac{ (x^2+1)(x-2) }{ (x+1)(x-2) })$$

kinged · Answer

Sorry for the wait. The function is just translated down and to the right.

jh99 · Answer

I don't understand how that's the equation..

kinged · Answer

Then you just didn't study the whole function-graphing science.

kinged · Answer

It's a little advanced. You can't compose it using basic curve-formation.

jh99 · Answer

Can we assume using the asymptotes, domain and range?

kinged · Answer

You can start with the simple form:$$\frac{ x^2+1 }{ x }$$

jh99 · Answer

what does the x represent in the graph?

mathmale · Answer

x is your "independent variable;' values of x are shown on the horizontal, or x-, axis.
y is your "dependent variable;" ....  on the y-axis.

What does "vertical asymptote" mean?  Can you find it just by looking at the graph?

It's not unusual for a graph to have two parts.  This graph changes sign at x=1/2.  Can you see why?

jh99 · Answer

I don't understand the entire concept of it. @mathmale
There needs to be two independent graphs, since it is a hyperbola, but how?
Do I set the entire equation to the "hyperbola equation"? I tried, but it was very complicated and I don't think I'mm doing it right!