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To find the rate of change for each function, we can calculate the difference in y-values divided by the difference in x-values for each set of points.
For function 1, the rate of change is (34-8)/(13-5) = 26/8 = 3.25.
For function 2, the rate of change is (34-26)/(13-5) = 8/8 = 1.
Therefore, function 1 has a greater rate of change (3.25) compared to function 2 (1).