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Graphing

Multi-Function Grapher

Enter two functions of x and an interval. The calculator plots them on a single chart and finds every intersection by bracketing sign changes of f(x) − g(x) and refining with bisection.

Multi-Function Grapher

Plot two functions on one chart and locate every intersection.

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Frequently asked questions

How are intersections found?

By sampling h(x) = f(x) − g(x), locating sign changes between samples, then bisecting on h(x) until the root is pinned down to many significant figures.

What if there are no intersections?

The calculator reports that the functions do not meet on the interval and the plot shows both curves with no marker.

Can I plot more than two functions?

This tool plots two at a time. For a third, use the single-function grapher in another tab, or compute pairwise intersections separately.

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Function Grapher Plot y = f(x) with zeros, extrema and the y-intercept marked. Parametric Grapher Plot a parametric curve (x(t), y(t)) over an interval in t. Polar Grapher Plot a polar curve r = f(θ) — roses, cardioids, spirals, conics. Inequality Region Grapher Shade the region y > f(x), y < f(x), y ≥ f(x) or y ≤ f(x). Function Feature Analyser Zeros, extrema, monotonicity, asymptotes and end behavior — without a plot. Function Value Table Tabulate f(x) at evenly spaced x values — useful for sketching by hand.