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Worksheet: Graphing Rational Functions with Transformations

Q1:

The graph shows 𝑦 = π‘˜ ( π‘₯ βˆ’ 3 ) βˆ’ 2 . We can see that the intersection of its asymptotes is at ( 3 , βˆ’ 2 ) and that the points ( 0 . 5 , βˆ’ 1 . 5 ) and ( 1 . 5 , βˆ’ 1 ) are below and above the graph respectively. Determine the interval in which π‘˜ lies.

  • A 0 . 5 < π‘˜ < 3
  • B βˆ’ 2 < π‘˜ < βˆ’ 1
  • C βˆ’ 2 < π‘˜ < βˆ’ 0 . 5
  • D βˆ’ 1 . 5 < π‘˜ < βˆ’ 1 . 2 5
  • E βˆ’ 1 . 2 5 < π‘˜ < βˆ’ 1