Math Problem Statement
Question content area top Part 1 Analyze the polynomial function f(x)equals(xplus6)squared(2minusx) Determine the end behavior of the graph of the function. The graph of f behaves like yequals
enter your response here for large values of StartAbsoluteValue x EndAbsoluteValue.
Solution
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Math Problem Analysis
Mathematical Concepts
Polynomial Functions
End Behavior
Leading Term
Degree of Polynomials
Formulas
(x + 6)^2 = x^2 + 12x + 36
f(x) = (x^2 + 12x + 36)(2 - x)
End Behavior: Leading term determines behavior for large |x| values
Theorems
End Behavior Theorem: The degree and leading coefficient of a polynomial determine its end behavior.
Suitable Grade Level
Grades 10-12
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