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Detailed explanation of the urgent need of science mathematics in senior high school
Odd function has a nature.

One is f(-x)=-f(x)

Second, the center is symmetrical.

In other words, it monotonically decreases within the definition on the left.

Then the right side is also monotonically decreasing.

What about this problem? X decreases monotonically at (0, 1/4).

Similarly (-1/4,0) is monotonically decreasing.

So x=- 1/4 is the largest.

X= 1/4 minimum value

F(- 1/4) can be calculated from one.