STEM PRACTICE AND EVIDENCE WORKBENCH
Build linear branches with interval endpoints and audit learner readings at ordinary points, gaps, and boundaries.
Review output
Load the worked example to inspect realistic inputs, or enter anonymous classroom or laboratory evidence. Results remain in this browser tab until you copy or download them.
Transparent method
An x-value belongs to a branch when it lies between its bounds and satisfies both endpoint inclusion flags. The selected branch returns slope times x plus intercept. If no branch includes x, the result is undefined. The validator rejects interval overlap, including a shared point marked closed by both adjacent branches. Supported means the learner chose the correct branch and value, including undefined where the supplied domain has a gap. Boundary conflicts point to open or closed endpoint reasoning rather than arithmetic alone. Review graph scale, domain notation, discontinuities, units, branch formulas, one-sided behavior, and equivalent table or symbolic representations.
Confirm the question, source, units, notation, response coding, model assumptions, and review threshold. Keep an unchanged copy of the original evidence.
Run the worked example, inspect every intermediate row, and compare it with a hand calculation, diagram, representation, or approved subject method.
Record the method, assumptions, units, classifications, and flagged rows. Verify the editable report independently before educational or laboratory use.
How to interpret the result
Use when learners need to connect interval notation, open and closed graph points, and branch substitution. The builder evaluates bounded linear pieces and exposes the selected branch. It does not read a graph image, infer a formula from data, draw nonlinear branches, determine continuity automatically, solve equations, or decide the domain outside supplied intervals.
The left branch uses y equals x plus two on negative ten through zero with zero open, so x negative two gives zero. The middle constant branch includes zero and three, so both return five. The right branch excludes three but includes ten and gives negative one at ten; the learner undefined response is therefore flagged.
An x-value belongs to a branch when it lies between its bounds and satisfies both endpoint inclusion flags. The selected branch returns slope times x plus intercept. If no branch includes x, the result is undefined. The validator rejects interval overlap, including a shared point marked closed by both adjacent branches.
Supported means the learner chose the correct branch and value, including undefined where the supplied domain has a gap. Boundary conflicts point to open or closed endpoint reasoning rather than arithmetic alone. Review graph scale, domain notation, discontinuities, units, branch formulas, one-sided behavior, and equivalent table or symbolic representations.
Do not substitute into every branch and choose a convenient answer, ignore endpoint circles, include a shared boundary twice, assume the written row order defines precedence, treat a gap as zero, or omit internal zero-width reasoning. Mark intervals first, test equality at endpoints, then substitute only in the unique valid branch.
Learning boundary
This browser-local workbench applies only the disclosed rules. It cannot diagnose a learner, certify an experiment, or replace teacher, laboratory, and safety judgment.
Review checklist
Practical questions
No. Processing occurs in the current browser tab. Avoid personal information and retain authoritative records only in the approved school system.
No. It describes entered evidence under one disclosed rule. Review reasoning, uncertainty, access, and several evidence sources.
Treat it as an editable calculation aid. Show your own reasoning, cite required sources, and follow course and academic-integrity rules.
YOUR NIRMION
