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The figure represents the graphs of y = x(2 - x) and y = (x...

Mathematics
JAMB 1993

The figure represents the graphs of y = x(2 - x) and y = (x - 1)(x - 3). What are the x-coordinates of P, Q and F respectively?
  • A. 1, 3, 2
  • B. 0, 0, 0
  • C. 0, 2, 3
  • D. 1, 2, 3
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Correct Answer: Option D
Explanation
The two equations are y = x(2 - x) and y = (x - 1)(x - 3)

The root of these equations are points where the graph of the equations cuts the x axis; but at these points = 0

put y = 0; 0 = x(2 - x)

0 = (x - 1)(x - 3)

x = 0 or x = 2; x = 1 or x = 3

The values of x at P, Q, R are increasing towards the positive direction of x-axis

at P, x = 1 at Q, x = 2 at R, x = 3

P, Q, R are respectively (1, 2, 3)

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