a. On the same axes sketch the curves with equations y = 6/x and y = 1

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a. On the same axes sketch the curves with equations y = 6/x and y = 1 + x.

b. The curves intersect at the points A and B. Find the coordinates of A and B.

c. The curve C with equation y = x2 + px + q, where p and q are integers, passes through A and B. Find the values of p and q.

d. Add C to your sketch.

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