Given that the function g(x) is graphed.
We need to determine the statements that are true about the graph g(x).
Option A: [tex]g(1)=-1[/tex]
From the graph, we can see that when x = 1, the value of y is 1.
Thus, it can be written as [tex]g(1)=1[/tex]
Therefore, [tex]g(1)=-1[/tex] is not true.
Hence, Option A is not the correct answer.
Option B: [tex]g(0)=0[/tex]
From the graph, we can see that when x = 0, then the value of y is 0.
Thus, it can be written as [tex]g(0)=0[/tex]
Therefore, [tex]g(0)=0[/tex] is true.
Hence, Option B is the correct answer.
Option C: [tex]g(4)=-2[/tex]
From the graph, we can see that when x = 4, the value of y is positive.
Therefore, [tex]g(4)=-2[/tex] is not true.
Hence, Option C is not the correct answer.
Option D: [tex]g(1)=1[/tex]
From the graph, we can see that when x = 1, the value of y is 1.
Thus, it can be written as [tex]g(1)=1[/tex]
Therefore, [tex]g(1)=1[/tex] is true.
Hence, Option D is the correct answer.
Option E: [tex]g(-1)=1[/tex]
From the graph, we can see that when x = -1, the value of y is 1.
Thus, it can be written as [tex]g(-1)=1[/tex]
Therefore, [tex]g(-1)=1[/tex] is true.
Hence, Option E is the correct answer.
