Functions

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How to Graph Rational Functions?

How to Graph Rational Functions?

Graphing rational functions requires a systematic approach: find the asymptotes (the lines the graph approaches but never crosses), locate any x- and y-intercepts, identify holes, and then plot a few key points to see which way the branches curve. Once you master the process, graphing rational functions becomes a reliable, step-by-step procedure. Tutor-style math help […]

How to Verify Inverse Functions by Composition?

How to Verify Inverse Functions by Composition?

TL;DR: Think of two functions as a door and a key — if one really undoes the other, plugging one into the other should land you right back at x. That’s the test for inverses: f(g(x)) must equal x AND g(f(x)) must equal x for every valid input. One direction isn’t enough — you have […]

How to Identify Relations and Functions? (+FREE Worksheet!)

How to Identify Relations and Functions? (+FREE Worksheet!)