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 The  graph of a simple rational function
  is called a hyperbola.
 Graph is made of two symmetrical parts
  called branches.
 To   graph without making a table:
1.   Sketch in the asymptotes:
     x = h and y = k
2.   Choose two x values on each side of
     the vertical asymptote.
3.   Plug them in and plot the 4 points.
4.   Draw in the branches. (Be sure not to
     cross the asymptotes!)
 Graph


 State the domain
 and range.
 Graph


 State the domain
 and range.
 Some   rational functions have the form



 Verticalasymptote is at the x value that
  makes the denominator = 0
 Horizontal asymptote is the line
 Graph


 State the domain
 and range.
 Graph


 State the domain
 and range.

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9.2 graphing simple rational functions

  • 1.
  • 2.  The graph of a simple rational function is called a hyperbola.  Graph is made of two symmetrical parts called branches.
  • 3.  To graph without making a table: 1. Sketch in the asymptotes: x = h and y = k 2. Choose two x values on each side of the vertical asymptote. 3. Plug them in and plot the 4 points. 4. Draw in the branches. (Be sure not to cross the asymptotes!)
  • 4.  Graph State the domain and range.
  • 5.  Graph State the domain and range.
  • 6.  Some rational functions have the form  Verticalasymptote is at the x value that makes the denominator = 0  Horizontal asymptote is the line
  • 7.  Graph State the domain and range.
  • 8.  Graph State the domain and range.