Secondary
Polynomial and rational functions
19 rooms · From lines to hyperbolas: graphs, domain, range and how each parameter changes them.
Secondary
Functions
Copiado
Linear functions
12 rooms · Lines y = m·x + n. Slope, intercept and graph recognition.
Secondary
Functions
Copiado
Powers, exponentials and logarithms
22 rooms · From counting factors to graphing curves: the properties of powers, the exponential function that always ends up winning, and the logarithm as its inverse question.
Secondary
Powers
Functions
Copiado
High school
Function analysis
21 rooms · From function families to their full graphical analysis: domain, extrema, limits and discontinuities, with zoom to see them up close.
High school
Calculus
Functions
Copiado
Circular Trigonometry
25 rooms · Sine and cosine are born from a point going round a circle. From the unit circle to sound waves, ellipses, the double angle and polar coordinates — and along the way, how a computer draws a circle.
High school
Trigonometry
Functions
Geometry
Copiado
The derivative
32 rooms · From visual intuition to calculation: slopes, limits, numerical differentiation and rules.
High school
Calculus
Functions
Copiado
Functions: concept, domain and range
16 rooms · What is (and isn't) a function, injective/surjective/bijective, and how to find the domain of a real function.
High school
Functions
Copiado
University
Function interpolation
29 rooms · Approximate unknown values from known data: from the tangent line to Lagrange, Newton, Taylor and cubic splines.
University
Calculus
Functions
Numerical analysis
Copiado
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