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numbers and algebraic expressions
logic, sets, intervals
absolute value
function and its properties
linear function
quadratic function
polynomials
rational function
exponential function
logarithm
number sequences
limits of sequences and functions
derivative and integral of functions
trigonometry
plane geometry
analytic geometry
solid geometry
combinatorics
probability
elements of statistics
kropki game
A rational function is a function of the form y = w(x) / p(x). w(x), p(x) -- polynomials. Examples: y = x^2+3 / x^2-3x+1, y = x+5 / x-2, y = x^3+x^2-1 / 5x^2+4. The domain of rational function find search roots (zeros) of a denominator. Examples. y = 5 / x-2, for x = 2 the denominator equal 0. D = R \ 2, all the real numbers except 2. y = 2x+4 / x^2-9, for x = 3 or x = -3 the denominator equal 0. D = R \ {-3,3}, all the real numbers except -3 and 3.