To find the solution set of the quadratic inequality $f(x) \geq 0$ from the graph, we need to identify the regions where the function $f(x)$, represented by the curve, is either zero or positive.

1. Zeros of the function: From the graph, we see that $f(x) = 0$ at the points $x = -2$ and $x = 2$, which are the x-intercepts.

2. Positive values: The function $f(x)$ is positive above the x-axis. Looking at the graph, this occurs when $x \in [-2, 2]$, meaning the graph is at or above the x-axis within this interval.

Therefore, the solution set for the inequality $f(x) \geq 0$ is:

$x \in [-2, 2]$

Would you like further details or explanations on any specific part of the solution?

Here are 5 related questions you might consider:

1. How would you solve the same inequality if the quadratic function were given as an equation instead of a graph?
2. Can you describe the properties of quadratic functions based on their graph (vertex, direction)?
3. How would you find the vertex of a quadratic function algebraically?
4. What would change in the solution set if the inequality were $f(x) > 0$ instead of $f(x) \geq 0$?
5. How do you determine the range of a quadratic function from its graph?

Tip: Always check for the intervals where the function crosses the x-axis when solving inequalities involving graphs.