1. The problem asks to find the equation of the graphed function, which is an absolute value function. 2. The absolute value function is defined as $$y = |x|$$, which creates a "V" shape graph centered at the origin. 3. The graph has two linear pieces: one with slope -1 for $x < 0$ and one with slope 1 for $x \geq 0$. 4. The left segment passes through points $(-5, 5)$ and $(0, 0)$, confirming slope $-1$. 5. The right segment passes through points $(0, 0)$ and $(5, 5)$, confirming slope $1$. 6. Therefore, the equation of the graphed function is $$y = |x|$$. 7. This function outputs the distance of $x$ from zero, always non-negative. Final answer: $$y = |x|$$