Interval arithmetic for elementary functions has been tackled by different researchers from a software point of view. In this paper, we present a hardware solution to efficiently support the computation of some classic elementary functions: sin, sinh, cos, cosh and exp, using an interval as input argument. To perform this, we carry out a modification of the classic CORDIC architecture with a moderate hardware increase. The total computation time for the evaluation of these functions over an argument interval is, in most of the interesting cases, just a few cycle times greater than the computation time of the corresponding point functions.