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If the real numbers x and y satisfy the constraint condition 5x + 3Y ≤ 15y ≤ x + 1x − 5Y ≤ 3, then the maximum value of Z = 3x + 5Y is______ ．
Draw the interior (including boundary) of △ ABC as shown in the figure. Y = − 35x + 15z can be obtained from z = 3x + 5Y, then Z is a straight line y = − 35x + 15z, and the intercept on the Y axis is a straight line L: 3x + 5Y = 0. When the line L is translated up to a, Z is the largest, and when it is translated down to B, Z is the smallest. A (32, 52) can be obtained from y = x + 15x + 3Y = 15
If the difference between the maximum value and the minimum value of the exponential function y = ax on [- 1, 1] is 1, then the base a is equal to ()
A. 1+52B. −1+52C. 1±52D. 5±12
When a ＞ 1, the function y = ax is an increasing function in the domain [- 1,1], a-a-1 = 1, a = 1 + 52. When 1 ＞ a ＞ 0, the function y = ax is a decreasing function in the domain [- 1,1], a-1-a = 1, a = − 1 + 52, so D
If the real number x satisfies 3 / (x + 1) ≥ 1, the process of finding the maximum and minimum value of the function y = 4 ^ X-2 ^ (x + 1) is explained,
3/(x+1)≥1 -1
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