Home Calculators Piecewise Function Calculator

Piecewise Function Calculator

Define up to 8 pieces, evaluate f(x) at any point, graph the full function, check continuity at breakpoints, and build a value table — all with step-by-step explanations.

Supports: x^2, sqrt(x), abs(x), sin(x), cos(x), ln(x), e^x, constants  ·  Use <, ≤, >, ≥

Define Piecewise Function

f(x) = expression when condition is true

Expression f(x) = Condition on x
Syntax help: x^2, 2*x+1, sqrt(x), abs(x), sin(x), cos(x), tan(x), ln(x), log(x), e^x, pi, |x|  ·  Conditions: x < 0, x >= 2, x == 5, -3 < x <= 1 (compound ok)

Evaluate f(x)

Find f(x) at a specific x value

Example Functions

Classic piecewise function examples

f(x) at x

f( — )
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x value—
Piece matched—
Expression used—
Num. of pieces—
Continuous?—

Function Notation

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Operator Reference

Powerx^2, x^0.5
Functionssqrt, abs, sin, cos
Logln(x), log(x)
Constantspi, e
Comparisons< <= > >= ==