1. The problem asks whether the statement "As $x$ goes to positive infinity, $f(x)$ goes to positive infinity" is true or false for the given graph. 2. From the graph description, $f(x)$ appears as a linear function passing through points $(0,0), (1,1), (2,2)$, which means the function has a positive slope. 3. A linear function with positive slope can be expressed as $f(x) = mx + b$ where $m > 0$ and $b$ is the $y$-intercept. 4. As $x \to +\infty$, since $m > 0$, $f(x) = mx + b \to +\infty$. 5. Therefore, the statement is TRUE. Final answer: True