Rational Function

Linear Denominators

RELATED DESMOS FILE LINK 
​Rational Function 1
  • has linear denominator and 1 as numerator
  • m > 0 in denominator
  • this program/link will do the following
    • show vertical and horizontal asymptotes
    • show y intercept
    • display integer x coordinates 
    • display integer y coordinates 
    • show end behavior 
    • show behavior as x approaches vertical asymptote
    • allows users to drag or slide points along graph
RELATED DESMOS FILE LINK
​Rational Function 2
  • has linear denominator and 1 as numerator
  • m can be any sign in denominator
  • this program/link will do the following
    • show vertical and horizontal asymptotes
    • show y intercept
    • display integer x coordinates 
    • display integer y coordinates 
    • show end behavior 
    • show behavior as x approaches vertical asymptote
    • allows users to drag or slide points along graph
RELATED DESMOS FILE LINK
​Rational Function 3
  • has linear numerator and denominator
  • m1 and m2 can be any sign
  • this program/link will do the following
    • show vertical and horizontal asymptotes
    • show x intercept
    • show y intercept
    • display integer x coordinates 
    • display integer y coordinates 
    • show end behavior 
    • show behavior as x approaches vertical asymptote
    • allows users to drag or slide points along graph
    • allows for the investigation of holes created by domain restrictions
      • shows point discontinuity
      • shows infinite discontinuity
Particular Example Rational Function
KUTA Rational Function DESMOS Graph 1 
  • Constant over factorable quadratic 
    • has single horizontal asymptote
    • has two vertical asymptotes 
    • has 0 x intercepts
    • has y intercept
RELATED DESMOS FILE LINK
​Rational Function 5
  • has quadratic numerator and linear denominator
  • all coefficients and constants within the numerator or denominator can be any sign
  • this program/link will do the following
    • show vertical and slant asymptotes
    • show x intercept(s)
    • show y intercept
    • display integer x coordinates 
    • display integer y coordinates 
    • show end behavior 
    • show behavior as x approaches vertical asymptote
    • allows users to drag or slide points along graph
    • allows for the investigation of holes created by domain restrictions
      • shows point discontinuity
      • shows infinite discontinuity
KUTA Graphing Rational Functions 1