Lesson Plan

Use tables of values to observe that an exponential function eventually produces larger outputs than any linear function, regardless of the linear function's slope

Use tables of values to observe that an exponential function eventually produces larger outputs than any quadratic (or higher-degree polynomial) function

Identify the crossover point where an exponential function overtakes a polynomial function by comparing values in a table or on a graph

Explain in plain language why exponential growth dominates: multiplicative growth compounds while additive (or polynomial) growth does not

Interpret graphs that show exponential and polynomial functions together, identifying regions where one exceeds the other

Apply the dominance principle to real-world contexts (e.g., why compound interest eventually outpaces any fixed salary increase)

HSF.LE.A.3

HSF.LE.A.3: Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.