Use graphs/tables to see that exponential growth eventually exceeds linear, quadratic, and polynomial growth.
Find the first interval where exponential values overtake comparison values
Problem
Use the displayed comparison table. Identify the first consecutive-input interval where the exponential values become larger than the other function's values.
The first overtake is located by an order reversal across two consecutive rows, not by naming only the first row where one value is larger. We’ll compare matching outputs in sequence and track the sign of exponential minus comparison value. The last negative difference followed by the first positive difference brackets the crossing and confirms that no earlier interval qualifies.
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