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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 inputs

    Evaluate 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 representations

    Read 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 conditions

    Use 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 extrema

    Interpret 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 models

    Recognize 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 function

    Choose 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 functions

    Connect translations, reflections, and stretches with nonlinear equations and graphs, then map named points through simple and composed transformations.

    30 min · 3 practice problems