To determine the last point graphed on the first piece of the piecewise function represented by \( f(x) = 2.5x \), we need to look for the range or the weight restrictions specified for this piece of the function.
In a piecewise function, different expressions are used for different intervals of the input variable, \( x \). For instance, if the function \( f(x) = 2.5x \) is defined for weights \( x \) in a certain interval (for example, \( 0 \leq x \leq 20 \)), then the last point that would be graphed on that piece of the function would depend on the upper limit of that interval.
If you have not provided the specific weight ranges for the piecewise function, I can't give you the exact last point. But typically, if \( f(x) = 2.5x \) is defined for, say \( 0 \leq x \leq 20 \), the last point would be when \( x = 20 \), so the last point graphed would be \( (20, f(20)) = (20, 2.5 \cdot 20) = (20, 50) \).
Please provide the specific weight ranges for the piecewise function if available, so I can give you a precise answer.