1. The problem asks us to find all values of $x$ for which $f(x) > 0$ given the graph of $y = f(x)$. 2. From the graph description, the parabola crosses the x-axis at $x = 1$ and $x = 6$. These points are the roots where $f(x) = 0$. 3. The vertex is at $(3.5, -7)$, which is below the x-axis, indicating the parabola opens upwards. 4. Since the parabola opens upwards and the vertex is below the x-axis, the parabola is above the x-axis (i.e., $f(x) > 0$) outside the roots. 5. Therefore, $f(x) > 0$ for $x < 1$ and $x > 6$. 6. In interval notation, the solution is $(-\infty, 1) \cup (6, \infty)$. Final answer: $f(x) > 0$ for $x < 1$ or $x > 6$.