One plus two plus three plus four plus five. How much is 99 plus 100?
5050 =(1+100)*50=5050
Given the odd function f (x) defined on R, when x > 0, f (x) = X2, then f (- 1)=______ .
∵ when x > 0, f (x) = X2, ∵ f (1) = 1, ∵ f (x) is an odd function defined on R, ∵ f (- 1) = - f (1), ∵ f (1) = - 1
It is known that f (x) is an odd function defined on R. when x ≥ 0, f (x) = x & # 178; - X
① Find the analytic expression of F (x), draw the image of F (x), and point out the monotone increasing interval of F (x)
x0
F (x) is an odd function defined on R
f(x)=-f(-x)
=-(x²+x)
=-x²-x
It is also true for x = 0
X≥0
f(x)=X²-X
The monotone increasing interval is
(1 / 2, positive infinity)
It is an odd function
x