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Grade 11 · Functions
Hyperbola & Exponential Graphs (Grade 11)
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Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    Write down the asymptotes of y = 4x − 1 + 2.
    (2)
    x = 1y = 2-6-4-22468-6-4-22468xy(−1 ; 0)(0 ; −2)
  2. 2
    Determine the y-intercept of y = 4x − 1 + 2.
    (2)
  3. 3
    Determine the x-intercept of y = 4x − 1 + 2.
    (2)
  4. 4
    Write down the domain and range of y = 4x − 1 + 2.
    (2)
  5. 5
    Write down the equation of the asymptote of y = 2x − 1.
    (2)
    y = −1-4-3-2-11234-4-2246810xyy = 2x − 1(0 ; 0)
  6. 6
    Determine the y-intercept of y = 2x − 1.
    (2)
  7. 7
    Write down the range of y = 2x − 1.
    (2)
  8. 8
    Describe the transformation from y = 2x to y = 2x − 1.
    (2)
TOTAL: 16 marks
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