Math Problem Statement
Buat lah soal grafik fungsi polinomial pangkat
Solution
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Math Problem Analysis
Mathematical Concepts
Polynomials
Cubic Functions
Graphing Functions
Differential Calculus
Formulas
Cubic function f(x) = ax^3 + bx^2 + cx + d
Stationary points: f'(x) = 0
Intercepts: f(x) = 0 for x-intercepts, f(0) for y-intercept
Limit behavior: lim_{x→∞} f(x) and lim_{x→−∞} f(x)
Theorems
Fundamental Theorem of Algebra (finding roots of polynomial functions)
Critical Point Theorem (identifying stationary points and determining local maxima or minima)
Suitable Grade Level
Grades 10-12