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GCE Mathematics 1990 Question 22

Question 22

Graphs of Functions

Use the graph to answer this question. Locate the points where y = x − 3 intersects y = x2 − 2x − 3

Diagram for this question
  1. A.(0,1), (0,2)
  2. B.(0,2), (0,3)
  3. C.(0,3), (0,4)
  4. D.(3,0), (0,−3)
  5. E.(−3,0), (0,3)
Show the answer and explanation

Answer: D ((3,0), (0,−3))

Explanation

Set x2 − 2x − 3 = x − 3: x2 − 3x = 0, so x = 0 or 3, giving the points (0, −3) and (3, 0).