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Georgia standard · Mathematics

`PC.FGR.2`Rational & Piecewise Functions

Analyze the behaviors of rational and piecewise functions to model contextual mathematical problems.

Appears in: Mathematics, High School

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Expectations

Analyze piecewise-defined functions using different representations.
- PC.FGR.2.1
  Graph piecewise-defined functions, including step functions and absolute value functions.
- PC.FGR.2.2
  Describe characteristics by interpreting the algebraic form and graph of a piecewise-defined function.
- PC.FGR.2.3
  Represent the limit of a function using both the informal definition and the graphical interpretation in the context of piecewise-defined functions; interpret limits expressed in analytic notation.
Analyze rational functions using different representations.
- PC.FGR.2.4
  Divide polynomials using various methods.
- PC.FGR.2.5
  Graph rational functions and identify key characteristics.
- PC.FGR.2.6
  Represent the behavior of a rational function using limit notation for vertical and horizontal asymptotes and end behavior.
- PC.FGR.2.7
  Represent the limit of a function using both the informal definition and the graphical interpretation in the context of rational functions; interpret limits expressed in analytic notation.
- PC.FGR.2.8
  Solve simple rational equations in one variable, and give examples showing how extraneous solutions may arise.
- PC.FGR.2.9
  Perform partial fraction decomposition of rational functions using non-repeated linear factors.

Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.