Disk, Washer, and Shell Methods: Which Should You Use?
Compare disk, washer, and cylindrical shell methods and choose the integral that describes a solid of revolution most simply.
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How to Export and Reopen an OnlineGraphing Project
Choose PNG, SVG, Copy, OGP, or HTML, preserve editability, and reopen projects without losing important settings.
Read article →How to Graph a Function Online: A Beginner’s Guide
Learn how to enter a function, choose a useful viewing window, read key features, and export a clear graph online.
Read article →How to Enter Mathematical Functions in a Graphing Calculator
Use the correct syntax for powers, roots, absolute values, logarithms, trigonometric functions, fractions, and relations.
Read article →How to Find the Domain and Range of a Function from Its Graph
Read domain and range from a graph by tracking allowed x-values, resulting y-values, endpoints, gaps, and asymptotes.
Read article →How to Find X-Intercepts, Y-Intercepts, and Intersections
Find where a graph crosses the axes and where two curves meet, then confirm approximate coordinates algebraically.
Read article →Function Transformations: Shifts, Reflections, and Stretches
Understand how parameters translate, reflect, stretch, and compress a parent function, with side-by-side graph examples.
Read article →How to Find Vertical, Horizontal, and Oblique Asymptotes
Identify vertical, horizontal, and oblique asymptotes from formulas, limits, and graph behavior without mistaking them for ordinary lines.
Read article →How to Create a Variation Table from a Function
Build a variation table from the domain, derivative signs, critical points, limits, extrema, and discontinuities of a function.
Read article →How to Determine Where a Function Is Increasing or Decreasing
Use the sign of the first derivative to identify increasing and decreasing intervals, including domain breaks and critical points.
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