Describe a function or relation and get a clean mapping diagram in seconds, with two labeled oval sets, arrows connecting inputs to outputs, and the domain and range clearly shown. Great for math class, tutoring, and presentations.
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A one-to-one function with domain {1, 2, 3} mapping to range {2, 4, 6}, each input paired with exactly one unique output.
A one-to-many relation where input 2 maps to both 5 and 7, showing why this relation fails the function test.
A many-to-one function with domain {1, 2, 3, 4} mapping to range {A, B}, valid as a function because each input still has exactly one output.
The standard two-oval mapping diagram layout with five elements in each set and labeled arrows, as used in algebra textbooks.
Input-output mapping for f(x) = x + 3, showing domain inputs {0, 1, 2, 3} mapped to range outputs {3, 4, 5, 6} with arrows.
A clean, empty mapping diagram template with two unlabeled ovals and dashed arrow guides, ready for students to fill in.
Start with one of these examples, then adapt the subject, labels, data, or layout for your own use.
A one-to-one function with domain {1, 2, 3} mapping to range {2, 4, 6}, each input paired with exactly one unique output.
Create a clear labeled mapping diagram of a one-to-one function with domain {1, 2, 3} and range {2, 4, 6}. Each element maps uniquely: 1->2, 2->4, 3->6. Two vertical ovals labeled Domain and Range, arrows connecting each pair. Classic textbook style. White background.
A one-to-many relation where input 2 maps to both 5 and 7, showing why this relation fails the function test.
Create a labeled mapping diagram of a relation that is NOT a function. Domain {1, 2, 3}, range {4, 5, 6, 7}. Element 2 maps to both 5 and 7 (one-to-many), making it not a function. Label this clearly. Two vertical ovals, arrows shown. Classic textbook style. White background.
A many-to-one function with domain {1, 2, 3, 4} mapping to range {A, B}, valid as a function because each input still has exactly one output.
Create a labeled mapping diagram of a many-to-one function. Domain {1, 2, 3, 4}, range {A, B}. Mappings: 1->A, 2->A, 3->B, 4->B. Multiple inputs share outputs but it remains a function. Two vertical ovals labeled Domain and Range, arrows shown. Colorful style. White background.
The standard two-oval mapping diagram layout with five elements in each set and labeled arrows, as used in algebra textbooks.
Create a classic mapping diagram with two large vertical ovals side by side. Domain oval (left) contains {a, b, c, d, e} and range oval (right) contains {1, 2, 3, 4, 5}. Draw labeled arrows: a->1, b->3, c->2, d->5, e->4. Label the ovals Domain and Range. Clean textbook style. White background.
A mapping diagram generator is a tool that draws a visual representation of how elements in one set (the domain) connect to elements in another set (the range). Instead of sketching two ovals and drawing arrows by hand, you describe the function or relation in plain text and the generator produces a clean, labeled diagram. Figviz uses AI to interpret your description, place the elements inside the correct oval, and draw arrows from each input to its output, whether you are showing a simple function, a many-to-one relation, or a relation that fails the function test.
A mapping diagram makes it easy to see whether a relation qualifies as a function. If every element in the domain has exactly one arrow pointing to the range, the relation is a function. This includes many-to-one mappings (multiple inputs can share one output) but excludes one-to-many mappings (one input pointing to two or more outputs). A blank domain element (no arrow at all) also breaks the function rule. Mapping diagrams are the visual equivalent of the vertical-line test and help students see these rules at a glance rather than checking a table of values.
Keep the domain and range sets small (three to six elements) so the diagram stays readable. Name the oval sets explicitly ("Domain" / "Range" or "Input" / "Output") so viewers know which side is which. If you want to show a non-function, include a note in your prompt saying which element maps to two outputs. For classroom worksheets, generate a blank template and let students fill in the arrows. Export at 4K for printed handouts and at 16:9 for slide decks.
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