MathDB
A Function

Source: 2000 National High School Mathematics League, Exam One, Problem 14

March 11, 2020
function

Problem Statement

Function f(x)=−12x2+132f(x)=-\frac{1}{2}x^2+\frac{13}{2}. If the minumum and maximum value of f(x)f(x) are 2a2a and 2b2b respectively on [a,b][a,b]. Find a,ba,b.
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