Given that the function g(x) is graphed.
We need to determine the statements that are true about the graph g(x).
Option A:
![g(1)=-1](https://img.qammunity.org/2021/formulas/mathematics/high-school/hp96p79c3ouylawzebp1ygbayvrgd48z33.png)
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://img.qammunity.org/2021/formulas/mathematics/high-school/tw7jozmrakvzpk5gmne1nhdqd7sblvpbpw.png)
Therefore,
is not true.
Hence, Option A is not the correct answer.
Option B:
![g(0)=0](https://img.qammunity.org/2021/formulas/mathematics/high-school/fd7pp3cdge0938mof13qsssgoyyqpe3827.png)
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://img.qammunity.org/2021/formulas/mathematics/high-school/fd7pp3cdge0938mof13qsssgoyyqpe3827.png)
Therefore,
is true.
Hence, Option B is the correct answer.
Option C:
![g(4)=-2](https://img.qammunity.org/2021/formulas/mathematics/high-school/r2jk5whta8eltzks0c2x8rlsqz3kjbj7jc.png)
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:
![g(1)=1](https://img.qammunity.org/2021/formulas/mathematics/high-school/tw7jozmrakvzpk5gmne1nhdqd7sblvpbpw.png)
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://img.qammunity.org/2021/formulas/mathematics/high-school/tw7jozmrakvzpk5gmne1nhdqd7sblvpbpw.png)
Therefore,
is true.
Hence, Option D is the correct answer.
Option E:
![g(-1)=1](https://img.qammunity.org/2021/formulas/mathematics/high-school/yugi5k0xddg4o2pqg35r0nhd7pi87gmm8p.png)
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://img.qammunity.org/2021/formulas/mathematics/high-school/yugi5k0xddg4o2pqg35r0nhd7pi87gmm8p.png)
Therefore,
is true.
Hence, Option E is the correct answer.