Tip 87. Expanded marking of a Plot

Fig. 87. Expanded marking of a Plot

In tip 47 we have given you recommendations to put in variables as marker of Cartesian graph instead of numerical constants. It increases mobility of the graph: for example, if the markers line fixes a root of the function than the variation in the function itself will tell both on the graph and on the lines those fixe the root. Unfortunately in Mathcad we can construct only couple straight lines through the markers on the axes x and y. Apart markers lines can not be formatted we can not change their color, thickness and other attributes that we can change of the graphs line. Solution of this problem is showed in the fig. 87, where actually not one but five graphs are built: graph of the analyzable function, two vertical lines that fix roots, vertical lines that fixes local minimum and square point that fixes local maximum. The secret of the graph in the fig. 87 is in the notes in the middle of the axes and y:

        axis y: y(x), y(x), y(x), y(x), ymax

        axis x: x, Rt1, Rt2, Min, Max

Apart the expressions are written in the places of the fixation of the graphs dispersion of the axis x for whole closure the graph to its interesting points (roots and extremes):

        left side of the axis x: min(Rt1, Rt2, Min, Max) 0.1

        right side of the axis : max(Rt1, Rt2, Min, Max) + 0.1

After corresponding format of the graph the variations in the function () will tell both on position of three vertical lines and one point and on the graphs dispersion. So that all four interesting points do not slip out range of vision of user who analyses the function (). The main thing here is these points exist and were found by corresponding built-in Mathcad-functions root, Minimize and Maximize.