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The graph of y x 2 and y x intersect at which o... - WAEC Mathematics 2018 Question

The graph of y = x\(^2\) and y = x intersect at which of these points?

A
(0,0), (1,1)
B
(0,0), (0,1)
C
(1, 0), (0, 0)
D
(0, 0) (0, 0)
correct option: a

y = x\(^2\) ....(1)

y = x ......(2)

y = y

x\(^2\) - x

x\(^2\) - x = 0

x(x - 1) = 0

x = 0 or x - 1 = 0

x = 0 or x = 1

when x = 0, y = 0\(^2\) = 0

when x = 1, y = 1\(^2\) = 1

Hence; the two graphs interest at (0, 0) and (1, 1)

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