Answer: To determine which point lies on the graph of y = |x - 1|, we need to substitute different values of x into the equation and find the corresponding y-values.
Let's consider a few examples:
1. If x = 0:
y = |0 - 1| = |-1| = 1
So the point (0, 1) lies on the graph.
2. If x = 1:
y = |1 - 1| = |0| = 0
So the point (1, 0) lies on the graph.
3. If x = 2:
y = |2 - 1| = |1| = 1
So the point (2, 1) lies on the graph.
4. If x = -1:
y = |-1 - 1| = |-2| = 2
So the point (-1, 2) lies on the graph.
Based on these examples, we can see that points such as (0, 1), (1, 0), (2, 1), and (-1, 2) lie on the graph of y = |x - 1|. These are just a few examples, and there are infinitely many points that lie on the graph since the absolute value function is defined for all real numbers.