Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Continuity
Piecewise Functions
Limits
Formulas
f(x) = (x^2 - 64) / (x + 8) for x < -8
f(x) = ax^2 - bx - 448 for -8 ≤ x < -1
f(x) = 436x - a + b for x ≥ -1
Theorems
Limit definition of continuity
Continuity at a point
Suitable Grade Level
Grade 11-12 (Pre-Calculus/Calculus)
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