Rational Function Examples

Jon Hasenbank, 27/10/2015

For each graph, describe the end-behavior (horizontal asymptotes if present, or use long division to find the equation of any slant or non-linear asymptotes), the zeros and x-intercepts, the y-intercept, the vertical asymptotes, and use the multiplicity of the factors to decide whether the function changes sign at each x-intercept and vertical asymptote.


  • 1. 10.22 Graph A
  • 2. 10.22 Graph B
  • 3. 10.22 Graph C
  • 4. 10.22 Graph D
  • 5. 10.22 Graph E
  • 6. 10.22 Graph F
  • 7. 10.22 Graph G
  • 8. 10.22 Graph H

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10.22 Graph A
– Jon Hasenbank

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