Linear, Quadratic and Exponential Models

HS.F-LE.A.1  Distinguish between situations that can be modeled with linear functions and with exponential functions: 

HS.F-LE.A.1.a  Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.

HS.F-LE.A.1.b  Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

HS.F-LE.A.1.c  Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

HS.F-LE.A.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).

HS.F-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.

HS.F-LE.B.5  Interpret the parameters in a linear or exponential function in terms of a context.