High School: Functions > Linear, Quadratic, & Exponential Models*Construct and compare linear, quadratic, and exponential models and solve problems.F-LE.1 Distinguish between situations that can be modeled with linear functions and with exponential functions. F-LE.1.A Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. F-LE.1.B Recognize situations in which one quantity changes at a constant rate per unit interval relative to another. F-LE.1.C Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another. F-LE.2 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table). F-LE.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. F-LE.4 For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. Interpret expressions for functions in terms of the situation they model.F-LE.5 Interpret the parameters in a linear or exponential function in terms of a context. |