Nonlinear Functions — Digital SAT SAT Math revision notes
A 3-page visual revision sheet for Nonlinear Functions, written for Digital SAT SAT Math. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.
What this Nonlinear Functions sheet covers
- Nonlinear means the rate of change itself changes
- One quadratic, three forms
- standard form, and c is the y-intercept
- vertex form, vertex at (h,k)
- factored form, x-intercepts at p and q
- axis of symmetry, which is also the x of the vertex
- sum of the two roots, with no factorising at all
- Worked: intercepts and vertex
- Which way the parabola opens
- a is positive
- a is negative
- Exponential models
- the general shape, b multiplied on each step
- a rise of r per period, r as a decimal
- a fall of r per period
- Worked: writing an exponential model
- Transformations: inside against outside
- Which form does this question want
- Pacing and the graphing calculator
- Symbols and terms
- Traps that cost points
- Tricks that save time
How CapCompass uses this sheet
These notes are not a standalone PDF. CapCompass plans SAT Math chapter by chapter against your real exam dates and free hours, and when the plan reaches Nonlinear Functions the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.
More SAT Math revision notes
- Area and Volume
- Circles
- Equivalent Expressions and Polynomials
- Evaluating Statistical Claims
- Inference and Margin of Error
- Linear Equations
- Linear Functions
- Linear Inequalities
- Lines, Angles, Triangles
- Nonlinear Equations in One Variable
- Nonlinear Systems
- One-variable Data
- Percentages
- Probability and Conditional Probability
- Ratios, Rates and Proportions
- Systems of Equations
- Triangles and Trigonometry
- Two-variable Data
- Units, Rates and Conversions