# Common Core: Linear, Quadratic, & Exponential Models

##### HSF.LE.A1

Distinguish between situations that can be modeled with linear functions and with exponential functions.

October 1, 2018
##### HSF.LE.A1a

Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.

October 1, 2018
##### HSF.LE.A1b

Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

October 1, 2018
##### HSF.LE.A1c

Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

October 1, 2018
##### HSF.LE.A2

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).

October 1, 2018
##### HSF.LE.A3

Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.

October 1, 2018
##### HSF.LE.A4

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.

October 1, 2018
##### HSF.LE.B5

Interpret the parameters in a linear or exponential function in terms of a context.

October 1, 2018