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WAEC Mathematics 2002 Question 9

Question 9

Graphs of Functions

The diagram is the graph of y = 6 + x − x2. The graph intercepts the x-axis at P and R and the y-axis at Q. What is the length of RP?

Diagram for this question
  1. A.6
  2. B.5
  3. C.3
  4. D.2
Show the answer and explanation

Answer: B (5)

Explanation

6 + x − x2 = −(x − 3)(x + 2), so the curve cuts the x-axis at −2 and 3. RP = 3 − (−2) = 5.