The function f is defined by the rule that assigns each real number x to 1 more than the opposite of its cube root. Select all the true statements about the function f.

A. The domain is all real numbers.
B. The range is all real numbers.
C. The x-intercept is 0.
D. The y-intercept is 1.
E. The graph is decreasing for all values in the domain of f.

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