ЭШ · Суралцах · 59 бодлого
Functions Функц ба график
The backbone of the paper: domain and range, graphs, transformations, composition and inverses — then the full family tour from linear through quadratic, piecewise, polynomial and rational.
Сургалтын хөтөлбөр (БСШУСЯ, А/492): 10.3, 11.3, 12.3
01 · Курс
7 нэгжээс 7 нь бэлэн — хичээл, дадлага, өөрийгөө шалгах тесттэй. Хичээлүүд одоогоор англи хэлээр; монгол орчуулга дараа нэмэгдэнэ.
01 Introduction to Functions Function notation, domain and range, the vertical line test, and reading graphs qualitatively. Start 02 Linear Functions & Slope Slope as a rate, the y = mx + b form, point-slope and standard forms, and parallel & perpendicular lines — straight lines as the algebra of steady change. Start 03 Quadratic Functions & Parabolas Graphs of y = ax² + bx + c: vertex, axis of symmetry, transformations, and max/min word problems. Start 04 Piecewise & Absolute-Value Graphs The V of y = |x|, shifts of it, and functions defined in pieces — including step functions. Start 05 Functions & Transformations Function notation as a machine, domain and range, the four graph moves — shift, flip, stretch — plus absolute value and piecewise functions: the visual grammar every later unit speaks. Start 06 Polynomial Functions Beyond the parabola: end behavior from the leading term, division with the remainder and factor theorems, zeros with multiplicity, and equations of degree three and up. Start 07 Rational Functions Division's function family: inverse variation, graphs with fences (asymptotes) and pinholes, fraction algebra scaled up to polynomials, and equations where phantoms lurk at forbidden inputs. Start