Analyzing a Quadratic Function

Consider the function $f(x) = 3x^2 + 4x - 7$. You are asked to find the values of $x$ for which $f(x) = 0$. After finding the roots, determine which of the following inequalities is true:

1) $f(x) < 0$ for $x < r_1$ and $x > r_2$, where $r_1$ and $r_2$ are the roots of the equation.

2) $f(x) > 0$ for $r_1 < x < r_2$.

Find the correct statement regarding the function $f(x)$ based on the roots of the equation.