It is known that the function f (x) whose domain is r decreases monotonically in the interval (- ∞, 5). For any real number T, f (5 + T) = f (5-T), then the following formula must be true () A. f(-1)<f(9)<f(13)B. f(13)<f(9)<f(-1)C. f(9)<f(-1)<f(13)D. f(13)<f(-1)<f(9)

It is known that the function f (x) whose domain is r decreases monotonically in the interval (- ∞, 5). For any real number T, f (5 + T) = f (5-T), then the following formula must be true () A. f(-1)<f(9)<f(13)B. f(13)<f(9)<f(-1)C. f(9)<f(-1)<f(13)D. f(13)<f(-1)<f(9)

The image of ∵ f (5 + T) = f (5-T) ∵ function f (x) is symmetric with respect to x = 5 ∵ f (- 1) = f (11), ∵ function f (x) decreases monotonically in the interval (- ∞, 5), and ∵ function f (x) increases monotonically in the interval ((∞, 5), + ∞)