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)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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)
Source: Myschool Past Questions Archive (Record #49641)