Question

Which statements about the function are true? CHOOSE 3 OPTIONS. ​

Answer 1

Given that the function g(x) is graphed.

We need to determine the statements that are true about the graph g(x).

Option A: $g(1)=-1$

From the graph, we can see that when x = 1, the value of y is 1.

Thus, it can be written as $g(1)=1$

Therefore, $g(1)=-1$ is not true.

Hence, Option A is not the correct answer.

Option B: $g(0)=0$

From the graph, we can see that when x = 0, then the value of y is 0.

Thus, it can be written as $g(0)=0$

Therefore, $g(0)=0$ is true.

Hence, Option B is the correct answer.

Option C: $g(4)=-2$

From the graph, we can see that when x = 4, the value of y is positive.

Therefore, $g(4)=-2$ is not true.

Hence, Option C is not the correct answer.

Option D: $g(1)=1$

From the graph, we can see that when x = 1, the value of y is 1.

Thus, it can be written as $g(1)=1$

Therefore, $g(1)=1$ is true.

Hence, Option D is the correct answer.

Option E: $g(-1)=1$

From the graph, we can see that when x = -1, the value of y is 1.

Thus, it can be written as $g(-1)=1$

Therefore, $g(-1)=1$ is true.

Hence, Option E is the correct answer.