If the odd function f (x) is an increasing function in the interval [3,7] and the maximum value is 5, then f (x) is () A. Decreasing function and minimum is - 5B. Increasing function and maximum is - 5C. Decreasing function and maximum is - 5D. Increasing function and minimum is - 5

If the odd function f (x) is an increasing function in the interval [3,7] and the maximum value is 5, then f (x) is () A. Decreasing function and minimum is - 5B. Increasing function and maximum is - 5C. Decreasing function and maximum is - 5D. Increasing function and minimum is - 5

∵ the odd function y = f (x) is an increasing function in the interval [3,7], and ∵ f (x) is also an increasing function in the interval [- 7, - 3]; ∵ the function y = f (x) is an increasing function in the interval [3,7], and the maximum value is 5, ∵ when 3 ≤ x ≤ 7, [f (x)] max = f (7) = 5, that is, any x ∈ [3,7], f (x) ≤ f (7) is constant