The correct statements about the function are:
- Function f has a vertical asymptote at [tex]x=-1[/tex].
- Function f has a hole at [tex]x=-3[/tex].
- The end behavior of function f is described by oblique asymptote.
The given graph represents the function f.
By viewing the graph, following details can be concluded:
- The function is a discontinuous function.
- The function forms a vertical asymptote at [tex]x=-1[/tex].
- The function also forms an oblique asymptote which leads to negative and positive infinity. This represents the end behavior of the function.
- The function has a hole at [tex]x=-3[/tex] where it is discontinuous also.
Therefore, the correct statements about the function are:
- Function f has a vertical asymptote at [tex]x=-1[/tex].
- Function f has a hole at [tex]x=-3[/tex].
- The end behavior of function f is described by oblique asymptote.
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