# End Behavior Calculator

> Determine the limits of a polynomial function as x approaches positive and negative infinity using the leading coefficient test.

**URL:** https://www.calculatoranswers.com/end-behavior-calculator
**Category:** Education

## Quick Answer

Find the end behavior of any polynomial. Enter your equation to see limits at positive and negative infinity with a direction sketch.

## Definition

An end behavior calculator analyzes the limits of a polynomial as the independent variable approaches positive and negative infinity. Using the Leading Coefficient Test, it extracts the degree parity (even vs. odd) and the leading coefficient sign (positive vs. negative) to determine whether the graph rises or falls at both ends.

## How to Use

1. **Enter polynomial** — Type your function using x as the variable (e.g. 3x^3 - 2x^2 + 5).
2. **Analyze leading term** — Review the extracted leading coefficient, degree, and mathematical test step-by-step.
3. **Read limits** — View the limit notation as x approaches ±∞, along with a direction sketch.

## Disclaimer

This calculator provides estimates for educational and planning purposes. Always consult a qualified professional for specific advice on financial, medical, legal, or other regulated decisions.

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