mathburst.fireheartjerry.chatgpt.site
A live mathematical canvas for reasoning, visualization, and WebMCP-native tutoring.
First seen 2026-11-05 · Last seen 2026-11-05 · Source: webmcp.com
Answer 9 · Act 37 · Transact 2 · Score: Not yet scored
Tool inspector
set_graph
Update one existing graph: latex (rewrites its linked equation), xDomain, yDomain, color, parameters (merged into the existing ones), showTangentAt or shadeIntegral (null clears), visualization, binEdges. With latex, typewriter: true types it live. Returns the resulting parameters and value at the tangent. Use graph_expression to create a graph.
Input schema
| Property | Type | Required | Description |
|---|---|---|---|
objectId |
string | yes | Id of the graph object. |
latex |
string | no | New LaTeX in x for the linked equation, e.g. "a x^2". |
xDomain |
array | no | [min, max] of x, e.g. [-4, 4]. |
yDomain |
array | no | [min, max] of y, e.g. [-5, 10]. |
color |
string | no | CSS curve color, e.g. "#7c5cff". |
parameters |
object | no | Named constants merged into the existing parameters, e.g. {"a": 2}. |
showTangentAt |
number,null | no | x at which to draw the tangent; null removes it. |
shadeIntegral |
array,null | no | [from, to] in x to shade; null removes the shading. |
visualization |
string | no | "standard" or "gamma-density" (normalised density with mass bins). |
binEdges |
array | no | Four ascending x edges for the gamma-density bins, e.g. [0, 2.5, 5, 12]. |
typewriter |
boolean | no | true: type the new value live, character by character, before committing it. Default false. |
typewriterMs |
number | no | Typing duration in ms, 200..6000. Default 1400. |
Raw JSON schema
{
"type": "object",
"properties": {
"objectId": {
"type": "string",
"minLength": 1,
"description": "Id of the graph object."
},
"latex": {
"type": "string",
"minLength": 1,
"description": "New LaTeX in x for the linked equation, e.g. \"a x^2\"."
},
"xDomain": {
"type": "array",
"minItems": 2,
"maxItems": 2,
"items": {
"type": "number",
"description": "x bound."
},
"description": "[min, max] of x, e.g. [-4, 4]."
},
"yDomain": {
"type": "array",
"minItems": 2,
"maxItems": 2,
"items": {
"type": "number",
"description": "y bound."
},
"description": "[min, max] of y, e.g. [-5, 10]."
},
"color": {
"type": "string",
"description": "CSS curve color, e.g. \"#7c5cff\"."
},
"parameters": {
"type": "object",
"additionalProperties": {
"type": "number",
"description": "Parameter value."
},
"description": "Named constants merged into the existing parameters, e.g. {\"a\": 2}."
},
"showTangentAt": {
"type": [
"number",
"null"
],
"description": "x at which to draw the tangent; null removes it."
},
"shadeIntegral": {
"type": [
"array",
"null"
],
"minItems": 2,
"maxItems": 2,
"items": {
"type": "number",
"description": "x bound."
},
"description": "[from, to] in x to shade; null removes the shading."
},
"visualization": {
"type": "string",
"enum": [
"standard",
"gamma-density"
],
"description": "\"standard\" or \"gamma-density\" (normalised density with mass bins)."
},
"binEdges": {
"type": "array",
"minItems": 4,
"maxItems": 4,
"items": {
"type": "number",
"description": "x edge."
},
"description": "Four ascending x edges for the gamma-density bins, e.g. [0, 2.5, 5, 12]."
},
"typewriter": {
"type": "boolean",
"description": "true: type the new value live, character by character, before committing it. Default false."
},
"typewriterMs": {
"type": "number",
"minimum": 200,
"maximum": 6000,
"description": "Typing duration in ms, 200..6000. Default 1400."
}
},
"required": [
"objectId"
],
"additionalProperties": false,
"examples": [
{
"objectId": "graph-1",
"parameters": {
"a": 2
}
},
{
"objectId": "graph-1",
"xDomain": [
-6,
6
],
"showTangentAt": 1.5
},
{
"objectId": "graph-1",
"latex": "x^3-3x",
"typewriter": true,
"shadeIntegral": null
}
]
}
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