Plot mathematical functions on a 2D coordinate plane with zoom, pan, and multiple function overlay support.
Graphing Calculator shows the shape and position of mathematical functions on horizontal x and vertical y axes. Enter a function to plot its curve, add other functions to overlay them, and adjust the coordinate window with zoom and pan controls. This is useful for visually comparing growth, crossings, symmetry, and turning behavior. A key distinction is that zooming or panning changes only the visible coordinate range. It does not modify the entered function or establish that an off-screen feature does not exist.
A concrete input and expected output from the current implementation.
Input
y = x y = -x
Expected output
The shared coordinate plane displays two straight lines. The graph of y = x rises from left to right, while y = -x falls from left to right. They intersect once, at (0, 0).
At an intersection, both equations have the same y-value, so x = -x. Therefore 2x = 0, giving x = 0 and y = 0.
Each accepted function is drawn against the same x-axis and y-axis. The visible coordinate window determines which portion of each curve appears. Zooming changes the scale and range shown, while panning moves that window across the plane. Neither action changes the mathematical relationship entered; it changes only the view used to inspect that relationship.
When multiple functions are entered, their curves occupy one coordinate plane rather than separate plots. This makes relative height, crossings, and changes in shape directly visible over the displayed range. An apparent intersection is still a visual observation. Exact intersection coordinates require checking that the relevant equations produce the same value at the proposed x-coordinate.
Not from appearance alone. The plot can reveal likely locations, but a visually estimated crossing is not an exact symbolic result. Use the axes to identify a candidate coordinate, then verify it by substitution or by solving the relevant equations. Curves that nearly touch can be especially difficult to distinguish from curves that genuinely intersect.
Its visible points may now lie entirely outside the coordinate window, or the function may have no defined values within the displayed x-range. Pan toward the previous location or zoom out to search a wider area. No, absence from the current view does not establish that the function has no values or no graph elsewhere.
The example and behavioral notes were checked against the browser implementation. Standards and primary references below define the relevant format, formula, or platform behavior.
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