Understand that linear functions increase by consistent differences over identical intervals, while exponential functions rise by reliable factors during equal intervals. Detect circumstances where one variable alters at a consistent rate per unit interval corresponding to another. Identify cases where a variable enhances or diminishes by a continuous percentage rate per unit interval related to another. Create linear and exponential functions, even arithmetic and geometric sequences, from a graph, a relationship description, or two input-output pairs. Utilize graphs and tables to identify that a quantity, when rising exponentially, surpasses an increasing quantity linearly, quadratically, or as a polynomial function. For exponential models, solve abct = d as a logarithm where a, c, and d are numbers while the base b is 2, 10, or e; use technology to evaluate the logarithm. Lastly, translate the parameters in a linear or exponential function in terms of a context.