SAT Subject Test in Math I

The SAT Subject Test in Math I assesses students' understanding of fundamental mathematical concepts and skills.

Numbers and OperationsAlgebraic Expressions and EquationsGeometry: Shapes and Measurement
Functions and GraphsData Analysis and ProbabilityCoordinate Geometry
Personal Finance and BudgetingCooking and MeasurementsTravel and Navigation
Time Management and PacingSmart Guessing and Elimination
Numbers and Operatio...Algebraic Expression...Geometry: Shapes and...Functions and GraphsData Analysis and Pr...Coordinate GeometryPersonal Finance and...Cooking and Measurem...Travel and Navigatio...Time Management and ...Smart Guessing and E...
Advanced Topics

Functions and Graphs

Mapping Inputs to Outputs

A function is a rule that assigns each input exactly one output. Functions can be represented as equations, tables, or graphs.

Reading and Plotting Graphs

The graph of a function shows how the output (y) changes as the input (x) changes. Common functions include linear (\(y = mx + b\)), quadratic (\(y = ax^2 + bx + c\)), and absolute value (\(y = |x|\)).

Why Functions Matter

Functions model real-life situations: speed vs. time, cost vs. quantity, and more!

Key Tips

  • Identify the slope and y-intercept for linear graphs
  • Recognize the shape of different function graphs

Key Formula

\[y = mx + b\]

Examples

  • Graphing your weekly allowance over time to see savings grow.

  • Using a linear function to predict costs for bulk purchases.

In a Nutshell

Functions show relationships and their graphs help visualize patterns and change.

Key Terms

Function
A relation where each input has exactly one output.
Slope
The rate of change in a linear function, represented by \(m\) in \(y = mx + b\).
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Data Analysis and Probability