Max and Min as algebraic functions | Desmos

Expression 3: "m" Subscript, "a" "x" , Baseline left parenthesis, "x" Subscript, 1 , Baseline , "x" Subscript, 2 , Baseline , right parenthesis equals StartFraction, "x" Subscript, 1 , Baseline plus "x" Subscript, 2 , Baseline plus StartRoot, left parenthesis, "x" Subscript, 1 , Baseline minus "x" Subscript, 2 , Baseline , right parenthesis squared , EndRoot Over 2 , EndFraction

3

Expression 4: "m" Subscript, "a" "x" , Baseline left parenthesis, "x" , "a" , right parenthesis

4

Expression 5: "m" Subscript, "i" "n" , Baseline left parenthesis, "x" , "a" , right parenthesis

5

6

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