1. The problem is to create a graph with three vertical sections separated by two curved boundaries labeled "T" and "T-S" with sections labeled "1" and "T" as described. 2. To represent this figure mathematically, we need to define the curves for the boundaries and the vertical sections. 3. Since the exact functions for the curves "T" and "T-S" are not given, we can assume smooth curves connecting points (0,0) to (1,0) with appropriate shapes. 4. For SageMath, we can use parametric or implicit plots to draw the curves and fill the regions. 5. For GeoGebra, we can define the curves using functions or implicit curves and use the polygon or region tools to shade the areas. 6. Below is example code for SageMath and GeoGebra to create a similar figure with labeled sections and curved boundaries. --- **SageMath code:** ```sage # Define the curves var('x y') T = x^2 # Example curve for T boundary TS = x^3 # Example curve for T-S boundary # Plot the curves p1 = plot(T, (x,0,1), color='blue', legend_label='T') p2 = plot(TS, (x,0,1), color='red', legend_label='T-S') # Fill regions region1 = polygon([(0,0),(0,1),(1,1),(1,0)], fill=True, color='lightgray', alpha=0.3) # Combine plots show(p1 + p2 + region1 + text('1', (0.25,0.5), fontsize=14) + text('T', (0.75,0.5), fontsize=14)) ``` --- **GeoGebra code:** ``` T: y = x^2 TS: y = x^3 Polygon((0,0),(0,1),(1,1),(1,0)) Text("1", (0.25,0.5)) Text("T", (0.75,0.5)) ``` This code creates the curves and labels the regions approximately as described. You can adjust the functions and points to better match the exact shape. Final answer: SageMath and GeoGebra code snippets to create the described figure.