When J 3, suppose that j (x) exp( j j x) 1 exp( 1 1 x) exp( 2 2 x) , j 1, 2 Show that 3 (x) is (a) decreasing in x if 1 0 and 0

Question: When J = 3, suppose that j (x) = exp( j + j x)/[1 + exp( 1 + 1 x) + exp(

When J = 3, suppose that π_j(x) = exp(α_j + β_jx)/[1 + exp(α₁ + β₁x) + exp(α₂ + β₂x)], j = 1, 2. Show that π₃(x) is (a) decreasing in x if β₁ > 0 and β > 0.

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