# Function Equation Plotter Plot one or more y=f(x) expressions, mark roots and extrema, and generate SVG-ready graph output > Canonical page: https://elysiatools.com/en/tools/function-equation-plotter - **Category:** Math & Numbers - **Keywords:** function, equation, plotter, math, graph ## Overview Parses one or more equations such as sin(x)/x or x^2-2x, samples them over a shared domain, identifies approximate roots and local extrema, and can estimate an integral area for one selected series. ## Inputs - **Expressions** (textarea): x^2 - 2*x sin(x) - **X Minimum** (number) - **X Maximum** (number) - **Y Minimum** (number) - **Y Maximum** (number) - **Sample Count** (number) - **Integral From** (number) - **Integral To** (number) ## When to use - When you need to visualize and compare multiple mathematical functions on a single set of axes. - When you want to identify critical points like roots and local extrema without manual calculation. - When you need to estimate the definite integral area under a curve and export the resulting graph. ## How it works - Enter one or more mathematical expressions, such as x^2 - 2*x or sin(x), with each equation on a new line. - Define the X and Y axis limits and set the sample count to control the resolution of the plotted curves. - Specify the integration range to highlight and calculate the area under the curve for the selected function. - Generate the interactive SVG graph displaying the curves, roots, extrema, and shaded integral area. ## Use cases - Plotting a parabola alongside a sine wave to find their intersection trends and roots. - Visualizing the definite integral area of a trigonometric function over a specific interval. - Generating clean SVG graphs of mathematical functions for academic reports or presentations. ## Frequently asked questions ### How do I input multiple equations? Enter each equation on a new line in the Expressions text area. ### What mathematical functions are supported? Standard algebraic operators and trigonometric functions like sin(x), cos(x), and basic powers are supported. ### Can I customize the resolution of the graph? Yes, you can adjust the Sample Count option between 40 and 1200 to change the plotting resolution. ### How does the tool calculate the integral area? It estimates the definite integral between the 'Integral From' and 'Integral To' values for the plotted series. ### What format is the output graph? 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