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Mathematical Analysis · Characteristics of Functions

Virginia SOL MA.CF.2

Virginia SOL MA.CF.2 is part of the Characteristics of Functions strand in Mathematical Analysis (Math). Under this Standards of Learning objective, students determine the limit of a function if it exists using algebraic, numerical, and graphical methods. Below is what MA.CF.2 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice MA.CF.2 for the Virginia SOL test.

Practice MA.CF.2All Mathematical Analysis standards

What SOL MA.CF.2 means

Determine the limit of a function if it exists using algebraic, numerical, and graphical methods.

Skills you’ll practice for MA.CF.2

  • Verify estimates about the limit of a function using graphing technology.
  • Determine the limit of a function algebraically.
  • Determine the limit of a function numerically by direct substitution.
  • Estimate the limit of a function using a table of values.
  • Determine the limit of a function from a given graph.
  • Use proper limit notation, including when describing the end behavior of a function.
  • Analyze the limit of a function as the variable approaches positive or negative infinity to describe end behavior.

Key concepts covered by MA.CF.2

  • limit estimation
  • graphing technology
  • limit verification
  • function limits
  • algebraic limits
  • limit calculation
  • limit laws
  • numerical limits
  • direct substitution
  • table of values
  • graphical limits
  • limit from graph
  • graph analysis
  • limit notation
  • end behavior
  • limit symbols
  • infinite limits
  • limit at infinity
  • function behavior

How to study and practice SOL MA.CF.2

Start with a quick diagnostic to see whether MA.CF.2 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.3 — Analyze and describe the continuity of functions using graphical and algebraic methods.

Frequently asked questions about SOL MA.CF.2

What is Virginia SOL MA.CF.2?

SOL MA.CF.2 is a Mathematical Analysis Standard of Learning in the Characteristics of Functions strand. It expects students to determine the limit of a function if it exists using algebraic, numerical, and graphical methods.

What skills does SOL MA.CF.2 cover?

SOL MA.CF.2 is assessed on 7 skills: verify estimates about the limit of a function using graphing technology; determine the limit of a function algebraically; determine the limit of a function numerically by direct substitution; estimate the limit of a function using a table of values; determine the limit of a function from a given graph; use proper limit notation, including when describing the end behavior of a function; analyze the limit of a function as the variable approaches positive or negative infinity to describe end behavior.

What strand of Mathematical Analysis is SOL MA.CF.2 in?

SOL MA.CF.2 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.2?

Start with a diagnostic to see whether MA.CF.2 is already solid, then work the 7 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.