1. **Problem Statement:** Find the turning point of the function $$f(x) = |x|$$. 2. **Understanding the function:** The absolute value function $$f(x) = |x|$$ outputs the distance of $$x$$ from zero on the number line, always non-negative. 3. **Formula and properties:** The function is defined as: $$ f(x) = \begin{cases} x & \text{if } x \geq 0 \\ -x & \text{if } x < 0 \end{cases} $$ This means the function is linear on either side of zero but changes slope at $$x=0$$. 4. **Finding the turning point:** The turning point occurs where the function changes direction, which is at the vertex of the "V" shape. 5. **Calculating the derivative:** For $$x > 0$$, $$f'(x) = 1$$; for $$x < 0$$, $$f'(x) = -1$$. The derivative does not exist at $$x=0$$ because of the sharp corner. 6. **Conclusion:** The turning point is at $$x=0$$, where $$f(0) = 0$$. This is the minimum point of the function. **Final answer:** The turning point of $$f(x) = |x|$$ is at $$\boxed{(0,0)}$$.