1.14

Topic

Function Model Construction and Application

Practice by unit: Polynomial and Rational Functions

Sub-standards

• 1.14.A.1 — Construct a linear, quadratic, cubic, quartic, polynomial of degree n, or related piecewise-defined function model. A model can be constructed based on restrictions identified in a mathematical or contextual scenario.
• 1.14.A.2 — A model of a data set or a contextual scenario can be constructed using transformations of the parent function.
• 1.14.A.3 — A model of a data set can be constructed using technology and regressions, including linear, quadratic, cubic, and quartic regressions.
• 1.14.A.4 — A piecewise-defined function model can be constructed through a combination of modeling techniques.
• 1.14.B.1 — Construct a rational function model based on a context. Data sets and aspects of contextual scenarios involving quantities that are inversely proportional can often be modeled by rational functions. For example, the magnitudes of both gravitational force and electromagnetic force between objects are inversely proportional to the objects’ squared di