Math Problem Statement
Find the smallest integer a such that the Intermediate Value Theorem guarantees that f(x) = -x^2 + 4x - 1 has a zero on the interval (2, a).
Solution
The problem asks to find the smallest integer ( a \
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Math Problem Analysis
Mathematical Concepts
Intermediate Value Theorem
Quadratic Functions
Formulas
f(x) = -x^2 + 4x - 1
Theorems
Intermediate Value Theorem
Suitable Grade Level
Grades 10-12
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