Given that the function g(x) is graphed.
We need to determine the statements that are true about the graph g(x).
Option A:

From the graph, we can see that when x = 1, the value of y is 1.
Thus, it can be written as

Therefore,
is not true.
Hence, Option A is not the correct answer.
Option B:

From the graph, we can see that when x = 0, then the value of y is 0.
Thus, it can be written as

Therefore,
is true.
Hence, Option B is the correct answer.
Option C:

From the graph, we can see that when x = 4, the value of y is positive.
Therefore,
is not true.
Hence, Option C is not the correct answer.
Option D:

From the graph, we can see that when x = 1, the value of y is 1.
Thus, it can be written as

Therefore,
is true.
Hence, Option D is the correct answer.
Option E:

From the graph, we can see that when x = -1, the value of y is 1.
Thus, it can be written as

Therefore,
is true.
Hence, Option E is the correct answer.