The odd function y = f (x) defined on R, given that y = f (x) has three zeros in the interval (0, + ∞), then the number of zeros of function y = f (x) on R is () A. 5B. 6C. 7D. 8

The odd function y = f (x) defined on R, given that y = f (x) has three zeros in the interval (0, + ∞), then the number of zeros of function y = f (x) on R is () A. 5B. 6C. 7D. 8

∵ function y = f (x) is an odd function defined on R, ∵ f (- x) = f (x). When x = 0, f (0) = 0, and the image of F (x) is symmetric about the origin, ∵ y = f (x) has three zeros in the interval (0, + ∞), and ∵ y = f (x) also has three zeros in the interval (- ∞, 0), so the number of zeros of function y = f (x) on R is 1 + 3 + 3 = 7

The odd function y = f (x) defined on R, given that y = f (x) has three zeros in the interval (0, + ∞), then the number of zeros of function y = f (x) on R is ()
A. 5B. 6C. 7D. 8

∵ function y = f (x) is an odd function defined on R, ∵ f (- x) = f (x). When x = 0, f (0) = 0, and the image of F (x) is symmetric about the origin, ∵ y = f (x) has three zeros in the interval (0, + ∞), and ∵ y = f (x) also has three zeros in the interval (- ∞, 0), so the number of zeros of function y = f (x) on R is 1 + 3 + 3 = 7

From this, we discuss the existence of the limit of left and right functions
(1)f(x)=(2X-|X|)/|X|
(2) F (x) = piecewise function → where x > 0 1-3 ^ (- x) is the negative x power of 3
When x = 0
When x

When x > 0, x0, the numerator and denominator divide x, the limit is 1; when x0, the equation is 1-3 ^ (- x); when x tends to zero, the limit is 0; right limit exists,
When x = 0, the equation is x = 0
x