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Mathematical Analysis · Characteristics of Functions

Virginia SOL MA.CF.3

Virginia SOL MA.CF.3 is part of the Characteristics of Functions strand in Mathematical Analysis (Math). Under this Standards of Learning objective, students analyze and describe the continuity of functions using graphical and algebraic methods. Below is what MA.CF.3 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice MA.CF.3 for the Virginia SOL test.

Practice MA.CF.3All Mathematical Analysis standards

What SOL MA.CF.3 means

Analyze and describe the continuity of functions using graphical and algebraic methods.

Skills you’ll practice for MA.CF.3

  • Describe continuity of a function.
  • Use mathematical notation to communicate and describe the continuity of functions including polynomial, rational, piecewise, absolute value, radical, and step functions.
  • Prove continuity at a point using the definition.
  • Classify types of discontinuity based on which condition of continuity is violated.

Key concepts covered by MA.CF.3

  • continuity
  • continuous functions
  • function continuity
  • mathematical notation
  • continuity notation
  • polynomial continuity
  • rational continuity
  • piecewise continuity
  • continuity proof
  • continuity at a point
  • epsilon-delta proof
  • mathematical reasoning
  • discontinuity classification
  • removable discontinuity
  • jump discontinuity
  • infinite discontinuity
  • continuity conditions

How to study and practice SOL MA.CF.3

Start with a quick diagnostic to see whether MA.CF.3 is already solid, then work each skill above with guided notes, flashcards, and SOL-style practice questions. For official released items, see our Virginia SOL practice tests guide and how to study for the SOL test.

Related Mathematical Analysis standards in Characteristics of Functions

  • MA.CF.1 — Identify and analyze properties of polynomial, rational, piecewise-defined, absolute value, radical, and step functions and sketch their graphs.
  • MA.CF.2 — Determine the limit of a function if it exists using algebraic, numerical, and graphical methods.

Frequently asked questions about SOL MA.CF.3

What is Virginia SOL MA.CF.3?

SOL MA.CF.3 is a Mathematical Analysis Standard of Learning in the Characteristics of Functions strand. It expects students to analyze and describe the continuity of functions using graphical and algebraic methods.

What skills does SOL MA.CF.3 cover?

SOL MA.CF.3 is assessed on 4 skills: describe continuity of a function; use mathematical notation to communicate and describe the continuity of functions including polynomial, rational, piecewise, absolute value, radical, and step functions; prove continuity at a point using the definition; classify types of discontinuity based on which condition of continuity is violated.

What strand of Mathematical Analysis is SOL MA.CF.3 in?

SOL MA.CF.3 belongs to the Characteristics of Functions reporting strand of the Mathematical Analysis Virginia Standards of Learning.

How do I study and practice for SOL MA.CF.3?

Start with a diagnostic to see whether MA.CF.3 is already solid, then work the 4 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.