Given that the function g(x) is graphed.
We need to determine the statements that are true about the graph g(x).
<u>Option A</u>: ![g(1)=-1](https://tex.z-dn.net/?f=g%281%29%3D-1)
From the graph, we can see that when x = 1, the value of y is 1.
Thus, it can be written as ![g(1)=1](https://tex.z-dn.net/?f=g%281%29%3D1)
Therefore,
is not true.
Hence, Option A is not the correct answer.
<u>Option B</u>: ![g(0)=0](https://tex.z-dn.net/?f=g%280%29%3D0)
From the graph, we can see that when x = 0, then the value of y is 0.
Thus, it can be written as ![g(0)=0](https://tex.z-dn.net/?f=g%280%29%3D0)
Therefore,
is true.
Hence, Option B is the correct answer.
<u>Option C</u>: ![g(4)=-2](https://tex.z-dn.net/?f=g%284%29%3D-2)
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.
<u>Option D</u>: ![g(1)=1](https://tex.z-dn.net/?f=g%281%29%3D1)
From the graph, we can see that when x = 1, the value of y is 1.
Thus, it can be written as ![g(1)=1](https://tex.z-dn.net/?f=g%281%29%3D1)
Therefore,
is true.
Hence, Option D is the correct answer.
<u>Option E</u>: ![g(-1)=1](https://tex.z-dn.net/?f=g%28-1%29%3D1)
From the graph, we can see that when x = -1, the value of y is 1.
Thus, it can be written as ![g(-1)=1](https://tex.z-dn.net/?f=g%28-1%29%3D1)
Therefore,
is true.
Hence, Option E is the correct answer.