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Geogebra Calculus & Function Graphing Demo

Geogebra Calculus & Function Graphing Demo
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2017-02-15 00:47
VectorFunctionSequenceCoordinate GeometryCalculus
This example dynamically demonstrates the geometric relationships between function graphs, vectors, and sequences. It involves core math concepts like calculus, percentages, quadratic functions, exponentiation, and the Pythagorean theorem. Construction highlights include using GeoGebra commands like Point, Vector, Textfield, Sequence, with objects such as k, base, A, h, f, y_{zoom}. Suitable for high school students and math enthusiasts to understand function properties and geometric constructions.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A_x
  2. Vector(A_x, B_f) → u
  3. Textfield(f) → inputBox1
  4. Sequence((0, k), k, -3, 3) → SourcePtsMD
  5. Sequence((k, f(k)), k, -3, 3) → ExpGraphpts
  6. Vector(A_x, B_2) → v
  7. Sequence(Vector[(0, k), (2, (y_{zoom} * f(k)))], k, -3, 3) → ExpMD
  8. Sequence((2, (y_{zoom} * f(k))), k, -3, 3) → ExpTargPts
  9. Sequence(Vector[(0, base^(k) + h), (2, (y_{zoom} * g(base^(k) + h)))], k, -3, 3) → logMD_1
  10. Sequence((0, base^(k) + h), k, -3, 3) → logsourcepts
  11. Sequence((w, g(w)), w, (-h), 5 - h, 0.5) → logGraphpts

AI Drawing Prompt Reference

Draw a function graph and related vectors and sequences. Start by creating a point A on the y-axis, then draw a vector u from A to a point B on the graph of function f. Next, create a sequence of points on the graph of function f from 0 to 3. Draw another vector v from A to B, then draw a sequence of target points on the graph of function f from 0 to 2. Finally, draw the graph of a logarithmic function and related vectors and points, including an exponential sequence and a logarithmic sequence from 0 to 3.
The prompt above was compiled from the original drawing commands and is for reference only.