Let's analyze the graph and the two questions based on it:

1. To find $g(0)$:

   • This means finding the value of the function $g(x)$ when $x = 0$.
   • From the graph, locate the point where $x = 0$ (on the y-axis).
   • The graph shows that when $x = 0$, $g(0) = 2$.

2. To find one value of $x$ such that $g(x) = 0$:

   • This asks for the value of $x$ where the function crosses the x-axis (i.e., where $g(x) = 0$).
   • From the graph, the function crosses the x-axis at $x = -2$.

Answers:

• (a) $g(0) = 2$
• (b) One value of $x$ for which $g(x) = 0$ is $x = -2$.

Would you like more details on the calculations or any other clarifications?

Here are 5 related questions to explore this further:

1. How can you calculate the slope of the line using two points from the graph?
2. What would $g(1)$ be from this graph?
3. Can there be more than one value of $x$ such that $g(x) = 0$ for different graphs?
4. How does the equation of the line relate to the function values shown?
5. What is the y-intercept of the line, and how does it help find $g(0)$?

Tip: The point where the graph crosses the y-axis gives the value of the function at $x = 0$, known as the y-intercept.