Function Calculators

Function Parity Calculator

Determine if a function is even, odd, or neither with f(-x) analysis

Function Monotonicity Calculator

Analyze increasing/decreasing behavior and find monotonic intervals

Function Domain Calculator

Automatically find the domain of various function types

Function Range Calculator

Find function range based on vertex and opening direction

Inverse Function Calculator

Swap x and y to derive the inverse function expression

Composite Function Decomposer

Split composite functions into outer and inner layers with nesting analysis

Function Graphing Calculator

Plot and analyze linear, quadratic, cubic, and sine functions with key points

Limit Solver

Compute limits of rational, trig, exponential, and polynomial functions

Derivative Calculator

Differentiate polynomial, trig, exponential, and logarithmic functions

Integral Calculator

Compute antiderivatives of polynomial, trig, exponential, and reciprocal functions

Asymptote Finder

Find vertical and horizontal asymptotes of rational functions

Zero Root Calculator

Find roots and x-intercepts of linear, quadratic, cubic, and rational functions

Intercept Calculator

Find x-intercepts and y-intercepts of linear, quadratic, and rational functions

Extrema Calculator

Find minima and maxima of quadratic and cubic functions via vertex and derivatives

Monotonicity Checker

Determine increasing and decreasing intervals for common function types

Continuity Tester

Check function continuity at points and over domain with limit analysis

Inflection Point Calculator

Find inflection points of cubic and quartic functions via second derivative

Concavity Analyzer

Analyze concave up and concave down intervals using second derivative

Period Calculator

Compute period, amplitude, and frequency of trigonometric functions

Symmetry Checker

Test if functions are even, odd, or neither via f(-x) analysis

Inverse Function Solver

Compute f^{-1}(x) by swapping x and y and solving for y

Composite Function Evaluator

Evaluate f(g(x)) numerically at a given x value step by step

Piecewise Function Solver

Evaluate piecewise-defined functions at any x with branch selection

Rational Function Simplifier

Simplify rational expressions, cancel factors, and find holes

Exponential Function Solver

Solve a^x=b and evaluate exponential functions using logarithms

Logarithmic Function Solver

Solve log_a(x)=b and evaluate logarithmic functions

Taylor Series Calculator

Compute Taylor series expansion around a center point up to n terms

Maclaurin Series Calculator

Expand functions in Maclaurin series (Taylor at x=0)

Implicit Differentiation Solver

Compute dy/dx for implicitly defined equations step by step

Parametric Derivative Calculator

Compute dy/dx and d^2y/dx^2 for parametric curves

Higher Order Derivative Solver

Compute 1st to 5th order derivatives of common functions

One-Sided Limit Calculator

Compute left-hand and right-hand limits of functions

Absolute Extrema Finder

Find global min and max of functions on closed intervals

Relative Extrema Finder

Find local minima and maxima using derivative tests

Bounded Function Checker

Check if functions are bounded above or below on intervals

Convex Function Verifier

Verify convexity and concavity using second derivative test

Concave Function Checker

Check if f(x) <= 0 for concavity of common functions

Strictly Convex Analyzer

Verify if f(x) > 0 (strictly convex) for common functions

Strictly Concave Analyzer

Verify if f(x) < 0 (strictly concave) for common functions

Functional Equation Solver

Evaluate and solve linear functional equations f(x)=ax+b

Function Average Value Calculator

Compute average value of a function on a closed interval

Function Stretch Calculator

Apply vertical and horizontal stretches to linear and quadratic functions

Function Compression Calculator

Apply vertical and horizontal compressions to functions

Periodic Function Validator

Check periodicity and find the fundamental period of functions

Discontinuity Classifier

Classify discontinuities as removable, jump, or infinite

Function Growth Rate Analyzer

Compare asymptotic growth rates of functions using limits

Logistic Function Analyzer

Analyze S-curve logistic functions with carrying capacity and inflection point

Trig Function Curve Fitter

Compute sine wave parameters: amplitude, period, phase shift, midline

Inverse Trig Function Evaluator

Evaluate arcsin, arccos, and arctan values in radians and degrees

Boundary Behavior Analyzer

Analyze function behavior at infinity, endpoints, and asymptotes

Piecewise Continuity Checker

Verify continuity of piecewise functions at boundary points