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The diagram is the graph of \(y = 6 + x - x^2\). The graph...

Mathematics
WAEC 2002

The diagram is the graph of \(y = 6 + x - x^2\). The graph intercepts the x-axis at P and R and the y-axis at Q.

When \(y = 3\frac{1}{3}\), what is the positive value of x?

  • A. \( 2\frac{1}{2}\)
  • B. \( 2\frac{1}{5}\)
  • C. \( 1\frac{1}{5}\)
  • D. zero
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Correct Answer: Option B
Explanation

Draw a straight horizontal line across the y-axis at y = 3\(\frac{1}{3}\). let the line cut through the curve.

the points where the horizontal line meets the curve, trace it down to the x-axis to obtain the values of x when y =  3\(\frac{1}{3}\)

take only the positive value of x.


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