The graph of y = x\(^2\) and y = x intersect at which of these points?
Question 1 Report
The graph of y = x\(^2\) and y = x intersect at which of these points?
Answer Details
The graph of y = x\(^2\) and y = x intersect at two points where the two curves have the same y-value. To find these points, we need to find the x-values where x\(^2\) = x.
We can start by subtracting x from both sides:
x\(^2\) - x = 0
Next, we can factor out x:
x (x - 1) = 0
This equation tells us that either x = 0 or x - 1 = 0. So, the two points of intersection are (0, 0) and (1, 1).
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