SAT Math

A comprehensive course to master all the mathematical concepts, skills, and strategies needed to succeed on the SAT exam.

Numbers and OperationsAlgebra and Linear EquationsData Analysis and Problem Solving
Quadratic Equations and PolynomialsFunctions and Nonlinear RelationshipsGeometry and Trigonometry
Budgeting and Financial MathInterpreting Data in the NewsMath in Sports and Design
Plugging In NumbersEliminating Wrong AnswersTime Management on the SAT
Numbers and Operatio...Algebra and Linear E...Data Analysis and Pr...Quadratic Equations ...Functions and Nonlin...Geometry and Trigono...Budgeting and Financ...Interpreting Data in...Math in Sports and D...Plugging In NumbersEliminating Wrong An...Time Management on t...
Advanced Topics

Functions and Nonlinear Relationships

Understanding Functions

Functions are rules that relate each input to exactly one output. On the SAT, you'll work with function notation, evaluate functions, and interpret graphs.

Key Skills

  • Function Notation: \( f(x) \) means 'the value of function f at x.'
  • Evaluating Functions: Substitute values into the function.
  • Graphing Functions: Recognize shapes like parabolas, exponentials, and absolute values.
  • Nonlinear Patterns: Understand relationships that aren't straight lines.

Application

Functions describe everything from population growth to how your phone battery drains!

Tips

  • Pay attention to input and output values.
  • Look for transformations (shifts, stretches) in function graphs.

Examples

  • If \( f(x) = 2x + 3 \), find \( f(4) \).

  • Determine if the graph represents a function.

In a Nutshell

Work with functions and nonlinear graphs to describe complex relationships.

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Geometry and Trigonometry