Question

f(x)=|(1/2x)-3|+|(1/2x)+3|的奇偶性

Answer 1

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