The graph of y = x(^2) and y = x intersect at which of these…

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 Answer: Option A
Explanation

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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