Math · Advanced Math

    Nonlinear Functions

    Quadratic, exponential, and polynomial functions on the Digital SAT.

    What the SAT Tests

    Nonlinear function questions — especially quadratics and exponentials — appear at the top of the hard Module 2. You need to be able to factor, complete the square, use the vertex form, and interpret growth or decay rates.

    Key Tips for Nonlinear Functions

    • Memorize the vertex form: y = a(x − h)² + k lets you read the vertex directly.
    • For exponential growth, identify the initial value and the growth/decay factor.
    • Factor quickly: if a quadratic has ac with integer factor pairs, it factors.

    Sample Nonlinear Functions Questions

    These are real practice questions pulled from our Digital SAT bank. Try each one before reading the highlighted correct answer.

    1. Question 1 · Easy
      What is the median value of the data set?
      • A. 1
      • B. 8
      • C. 13Correct
      • D. 20
    2. Question 2 · Easy

      What is the minimum value of the given function?
      • A. 1
      • B. 6
      • C. 7Correct
      • D. 8
    3. Question 3 · Easy
      The function f is defined by . What is the value of ?
      • A. 35
      • B. 45
      • C. 70
      • D. 245Correct

    Practice Nonlinear Functions Questions

    Drill nonlinear functions questions in the Digital SAT Math question bank, or take a full-length practice module to see how this skill appears under test conditions.

    FAQs

    What is Nonlinear Functions on the Digital SAT?

    Nonlinear function questions — especially quadratics and exponentials — appear at the top of the hard Module 2. You need to be able to factor, complete the square, use the vertex form, and interpret growth or decay rates.

    How hard are nonlinear functions questions?

    Nonlinear Functions questions appear at every difficulty level on the Digital SAT Math section. The hardest versions gate access to the top scaled scores in the hard Module 2.

    How do I practice nonlinear functions?

    Use the 1600.now question bank to filter for nonlinear functions questions, solve at least 20 in a row, and review every miss with the written explanation.

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