It is known that the function y = (M + 2) x ^ m & # 178; + M-4 is a quadratic function of X. when x > 0, y increases with the increase of X. The analytic formula and its maximum value of the function are obtained

solution
A function is a quadratic function
∴m²+m-4=2
∴m²+m-6=0
∴(m+3)(m-2)=0
‖ M = 2 or M = - 3
∵m+2≠0
‖ M = 2 or M = - 3
When m = 2
When y = 4x & # 178;, x > 0, y increases with the increase of X
When m = - 3
When y = - X & # 178;, x > 0, y decreases with the increase of X
∴y=4x²
The minimum value is: 0

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