inverse function
Undoes original transformation
An inverse function reverses the operation of another function, taking the output back to the original input.
If a function *f* transforms *x* into *y*, the inverse function *f*⁻¹ transforms *y* back into *x*.
Not all functions have inverses; a function must be one-to-one (each output corresponds to exactly one input) for an inverse to exist.
The inverse function of squaring is the square root.
Exactly paired correspondence
composition · identity · mapping · reflection · uniqueness · existence · restriction
Function's rate of change
- antiderivativeReverse of differentiation
- integralAntiderivative or crucial component
- chain ruleComposite function derivative method
- monotonicUnchanging in direction
continuous · differentiable · arcsin · arccos · arctan · logarithm · exponential · natural log
Reverse a prior action
- reverseTurn to opposite
- backtrackReverse one's position
- retraceFollow a previous path
- cancelRevoke or terminate
revert · recover · reconstruct · round trip · restore · return value
Based on exponents
- exponentialIncreasing by constant ratio
- quadraticInvolving squared terms
- square rootNumber times itself equals original
- cubicOf three dimensions
cube root · polynomial · radical · rational · nth root
one-to-one
Exactly paired correspondence
image · composition · identity · mapping · reflection · uniqueness · existence · restriction
derivative
Function's rate of change
- antiderivativeReverse of differentiation
- integralAntiderivative or crucial component
- chain ruleComposite function derivative method
monotonic · continuous · differentiable · arcsin · arccos · arctan · logarithm · exponential · natural log
undo
Reverse a prior action
cancel · revert · recover · reconstruct · round trip · restore · return value
logarithmic
Based on exponents
- exponentialIncreasing by constant ratio
- quadraticInvolving squared terms
- square rootNumber times itself equals original
cubic · cube root · polynomial · radical · rational · nth root
- functionssubroutine, handler, lambda, procedure, closure
- math functionssine, abs, cosine, add, tangent
- Calculatorspocket calculator, scientific calculator, graphing calculator, basic calculator, desk calculator
- equationsalgebraic equation, balanced equation, chemical equation, quadratic equation, algebraic equations
- graphsgraph, bar graph, line graph, pie chart, scatter plot
- polynomialspolynomial, polynomials, binomial, monomial, binomials
function, functional, invert, inverse, inversion, inversely, inverting, inverses, invertible