Complex Zeros & Fundamental Theorem
Visualize all roots of a degree-4 polynomial on both the real graph and complex plane. See conjugate pairs, adjust real and complex roots dynamically.
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AP PRECALCULUS
Polynomial End Behavior Analyzer
Visualize how the degree and leading coefficient of a polynomial determine its end behavior. Adjust coefficients interactively and observe limit notation for x→±∞ in real time.
AP PRECALCULUS
Rational Function Asymptotes
Explore vertical, horizontal, and slant asymptotes of rational functions. Switch between preset functions or enter custom numerator/denominator coefficients to see asymptote detection in real time.
AP PRECALCULUS
Unit Circle Navigator
Navigate the unit circle interactively. Drag or select angles to see exact sine, cosine, and tangent values. Visualize reference angles, quadrant signs, and the right triangle projection.
AP PRECALCULUS
Exponential Growth vs Decay Comparison
Compare exponential growth and decay side by side. Adjust the initial value and base to see how doubling time, half-life, and growth rate change. Includes real-world presets like compound interest and radioactive decay.