One special characteristic of any exponential growth or decay function f(t) = Ab[superscript t] is its unique doubling time or half-life, each of which depends only on the base "b". The half-life is used to characterize the rate of decay of any radioactive substance or the rate at which the level of a medication in the bloodstream decays as it is…

Conceptual understanding in mathematics within the area of functions involves the ability to translate among different representations, table, graph, symbolic, or real-world situation of a function. Students' procedural knowledge for solving equations may become separated from their conceptual knowledge, and if these connections can be maintained…