For the function y = f (x), X ∈ R, "the image of y = | f (x) | is symmetric about the Y axis" is the () A. Sufficient and unnecessary condition B. necessary and insufficient condition C. sufficient and necessary condition D. neither sufficient nor necessary condition

For the function y = f (x), X ∈ R, "the image of y = | f (x) | is symmetric about the Y axis" is the () A. Sufficient and unnecessary condition B. necessary and insufficient condition C. sufficient and necessary condition D. neither sufficient nor necessary condition

For example, if f (x) = x2-4 satisfies | f (x) | the image is symmetric about the Y axis, but f (x) is not an odd function. Therefore, "the image of y = | f (x) | is symmetric about the Y axis" can not deduce that "Y = f (x) is an odd function" when "y = f (x) is an odd function" {f (- x) = - f (x)} {f (- x) | = | f (x) | {y = | f (x) |