📈 Graphing Calculator

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A graphing calculator draws the graph of one or more functions of x. Enter equations like y = x^2 - 3 or sin(x), and the calculator plots them on an interactive grid you can zoom and pan. Add several functions at once to compare them, each in its own colour.

It evaluates each function at many x-values across the visible window and joins the points into a smooth curve, redrawing as you scroll to zoom or drag to pan so the axes and grid always rescale to what you are looking at. Any expression the scientific calculator understands works here — polynomials, trigonometry, logarithms, exponentials, roots and combinations — and each function you add is drawn in a distinct colour so several curves can be compared on one grid.

For a worked example, plotting y = x^2 - 3 gives an upward parabola whose lowest point sits at (0, -3) and which crosses the x-axis near x = -1.73 and x = 1.73 (where x^2 = 3). Add y = x - 1 on the same grid and the two curves meet where a line crosses the parabola, giving a visual solution to x^2 - 3 = x - 1. It is used to explore the shape of a function, find roots and intercepts, spot maxima and minima, and see where two graphs intersect.