1. The problem describes three separate red graphs with specific points and shapes. 2. We need to understand the piecewise and continuous nature of these graphs based on the points given. 3. The top-right graph is a piecewise linear function with open and filled points indicating continuity and endpoints. 4. The bottom-left graphs are curves with minima and maxima, open and filled points indicating domain restrictions. 5. Since no explicit function or equation is given, we focus on interpreting the graph features as described. 6. The top-right graph rises from an open circle at $(3,5)$ to a peak at $(5,10)$, falls to $(7,7)$, rises to $(10,8)$, then falls to an open circle at $(12,0)$. 7. The bottom-left first curve starts at a filled point near $(-10,2)$, drops through $(-8,0)$, reaches a minimum near $(-7,-3)$, then rises to an open circle near $(-6,-2)$. 8. The bottom-left second curve starts at an open circle near $(-5,-6)$, falls to a filled point near $(-4,-8)$, rises through an open circle near $(-2,-7)$ and a filled point at $(0,-6)$, then slopes down to a filled point near $(3,-7)$. 9. These descriptions help visualize the graphs but no explicit algebraic expressions are provided.