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Which of the following functions f defined for all numbers x has the property that f(-x)=-f(x) for all numbers x?
Which of the following functions f defined for all numbers x has the property that f(-x)=-f(x) for all numbers x?
admin
2020-10-11
37
问题
Which of the following functions f defined for all numbers x has the property that f(-x)=-f(x) for all numbers x?
选项
A、f(x) = x
3
/(x
2
+1)
B、f(x) =(x
2
-1)/(x
2
+1)
C、f(x) = (x
2
-1)x
2
D、f(x) = (x
3
-1)x
E、f(x) = (x
3
-1)x
2
答案
A
解析
选项A:
f(-x)=-f(x),A正确。
选项B:
f(-x)≠-f(x)。
选项C:f(-x)=[(-x)
2
-1](-x)
2
=(x
2
-1)x
2
;-f(x)=-(x
2
-1)x
2
;f(-x)≠-f(x)。
选项D:f(-x)=f[(-x)
2
-1)(-x)=(x
3
+1)x;-f(x)=-(x
3
-1)x;f(-x)≠-f(x)。
选项E:f(-x)=[(-x)
2
-1)(-x)
2
=(-x
3
-1)x
2
;-f(x)=-(x
3
-1)x
2
;f(-x)≠-f(x)。
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本试题收录于:
GRE QUANTITATIVE题库GRE分类
0
GRE QUANTITATIVE
GRE
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