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Master SAT Nonlinear Functions

Read, build, and transform quadratic, exponential, polynomial, and rational functions and models.

  • 7 interactive lessons
  • Step-by-step worked examples
  • SAT-style practice questions

Intermediate

  1. Lesson 10%Evaluate nonlinear functions and recover inputsEvaluate exponential, polynomial, radical, and rational functions at given inputs, then work back from an output to every valid input.38 min · 4 practice problems
  2. Lesson 20%Read nonlinear graphs and representationsRead zeros, intercepts, extrema, intervals, symmetry, and asymptotic behavior from nonlinear graphs, tables, and equations.34 min · 3 practice problems
  3. Lesson 40%Build a quadratic function from conditionsUse the form that already shows given roots or a vertex, and use quadratic regression to build a function from three unrelated points.32 min · 4 practice problems
  4. Lesson 50%Interpret quadratic models and extremaInterpret a quadratic model’s maximum or minimum, timing, intercepts, coefficients, predictions, and realistic domain in context.28 min · 3 practice problems
  5. Lesson 60%Build, identify, and interpret exponential modelsRecognize repeated multiplicative change, write an exponential model, interpret its factor and interval, and convert that factor to a new interval.30 min · 3 practice problems

Advanced

  1. Lesson 30%Use the three forms of a quadratic functionChoose and rewrite standard, factored, or vertex form so a quadratic displays its y-intercept, zeros, vertex, or axis of symmetry.27 min · 3 practice problems
  2. Lesson 70%Transform nonlinear functionsConnect translations, reflections, and stretches with nonlinear equations and graphs, then map named points through simple and composed transformations.30 min · 3 practice problems