Linear, Quadratic, & Exponential Models

Construct and compare linear, quadratic, and exponential models and solve problems

• MAT-HS.F-LE.01 Distinguish between situations that can be modeled with linear functions and with exponential functions.
  • MAT-HS.F-LE.01.a Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
  • MAT-HS.F-LE.01.b Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
  • MAT-HS.F-LE.01.c Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
• MAT-HS.F-LE.02 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).
• MAT-HS.F-LE.03 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.

Interpret expressions for functions in terms of the situation they model.

• MAT-HS.F-LE.05 Interpret the parameters in a linear or exponential function in terms of a context.