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Special Graphs

Problems

Asymptotes and Holes

Graphing Rational Expressions

Problem : Name the horizontal asymptote(s), vertical asymptote(s), and hole(s) in the following graph:


Graph

Horizontal asymptotes: y = - 1 , y = 5 .
Vertical asymptotes: NONE.
Holes: x = - 3 , x = .

Problem : Name the horizontal asymptote(s), vertical asymptote(s), and hole(s) in the following graph:


Graph

Horizontal asymptotes: NONE.
Vertical asymptotes: x = 2 .
Holes: x = - 2 .

Problem : Name the horizontal asymptote(s), vertical asymptote(s), and hole(s) in the following graph:


Graph

Horizontal asymptotes: y = 0 .
Vertical asymptotes: x = - 1 .
Holes: NONE.

Problem : Name the vertical asymptote(s) and hole(s) of the following function:
f (x) =

Vertical Asymptotes: x = - 3, 2 .
Holes: NONE.

Problem : Name the vertical asymptote(s) and hole(s) of the following function:
f (x) =

Vertical Asymptotes: x = - 3, 7 .
Holes: x = 0, 3 .

Problem : Name the vertical asymptote(s) and hole(s) of the following function:
f (x) =

Vertical Asymptotes: x = - 4 .
Holes: x = 0, 2 .

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