f(x)=|(1/2x)-3|+|(1/2x)+3|的奇偶性错了 是 f(x)=|(1/2)x-3|+|(1/2)x+3|

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f(x)=|(1/2x)-3|+|(1/2x)+3|的奇偶性错了 是 f(x)=|(1/2)x-3|+|(1/2)x+3|
f(x)=|(1/2x)-3|+|(1/2x)+3|的奇偶性
错了 是 f(x)=|(1/2)x-3|+|(1/2)x+3|

f(x)=|(1/2x)-3|+|(1/2x)+3|的奇偶性错了 是 f(x)=|(1/2)x-3|+|(1/2)x+3|
f(x) = | (1/2)x - 3 | + | (1/2)x + 3 |
f(-x) = | -(1/2)x - 3 | + | -(1/2)x + 3 |
= | -[ (1/2)x + 3 ] | + | -[ (1/2)x - 3 ] | = | (1/2)x + 3 | + | (1/2)x - 3 | = f(x)
所以f(x)是偶函数

f(-x) = | -(1/2)x - 3 | + | -(1/2)x + 3 |= | -[ (1/2)x + 3 ] | + | -[ (1/2)x - 3 ] | = | (1/2)x + 3 | + | (1/2)x - 3 | = f(x)
所以f(x)是偶函数