Math Problem Statement
Match the polynomial function with its graph. f(x) = − 1/4 x exponent 4 + 3x2 sqare
Solution
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Math Problem Analysis
Mathematical Concepts
Polynomial Functions
End Behavior
Symmetry
Intercepts
Turning Points
Formulas
f(x) = -\frac{1}{4}x^4 + 3x^2
End Behavior for quartic functions with a negative leading coefficient
x-intercepts using factorization
Theorems
Even function symmetry (functions with only even powers are symmetric about the y-axis)
Fundamental theorem of algebra (maximum number of real roots)
Turning points of polynomial functions (based on degree)
Suitable Grade Level
Grades 11-12 or early college level
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