this is meant for you to visualize
the horizontal asymptote is the horizontal line that the graph approaches as it goes to the right \(\infty\) and to the left \(-\infty\)
they have marked it for you with a dotted line
the vertical asymptote is the vertical dotted line. it is hard for me to read, but i think that is the line \(x=-1\)
the domain is all real numbers except where you see that you cannot plug in a value of \(x\) which not coincidentally is the vertical asymptote
in other words it is all real numbers except for \(x=-1\)
For domain, how far can x go before being intervened by an asymptote. Same for y.
Intercepts, when an x value touches the x-axis or the y value touches the y axis.
And you should know asymptotes and what are they. (DOTTED LINES). Give equations and be done with it. Considering this is a test based on what you learned over lessons, I cannot help you further.
and similarly you can see from the graph that the function approaches, but never actually achieves the value of \(y=3\) which is the horizontal asymptote
and finally the "intercepts" are where the graph crosses the \(x\) axis, and where the function crosses the \(y\) axis. it looks like they are at the same place, since the graph crosses both axes at \((0,0)\)