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GCE Mathematics 1989 Question 39

Question 39

Graphs of Functions

Which of the following gives the point of intersection of the graphs y = x2 and y = x + 6 shown above?

Diagram for this question
  1. A.(0,6), (3,9)
  2. B.(−3,0)(2,4)
  3. C.(−2,4)(3,9)
  4. D.(−2,3)(−3,2)
  5. E.(−2,2)(3,6)
Show the answer and explanation

Answer: C ((−2,4)(3,9))

Explanation

x2 = x + 6 gives x2 − x − 6 = (x − 3)(x + 2) = 0, so x = 3 or −2, and the points are (−2, 4) and (3, 9).