Algebra Functions Data Analysis · Algebra and Functions

Virginia SOL AFDA.AF.2

Virginia SOL AFDA.AF.2 is part of the Algebra and Functions strand in Algebra Functions Data Analysis (Math). Under this Standards of Learning objective, students investigate and analyze characteristics of the graphs of linear, quadratic, exponential, and piecewise-defined functions. Below is what AFDA.AF.2 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice AFDA.AF.2 for the Virginia SOL test.

What SOL AFDA.AF.2 means

Investigate and analyze characteristics of the graphs of linear, quadratic, exponential, and piecewise-defined functions.

Skills you’ll practice for AFDA.AF.2

  • Determine the domain and range of a function given a graphical representation, including contextual limitations.
  • Identify intervals on a graph where a function is increasing, decreasing, or constant.
  • Identify the location and value of the absolute maximum and absolute minimum of a function over its domain from a graph.
  • Determine the zeros and intercepts of a function from its graph.
  • Describe the connection between points on the graph and the value of a function.
  • Describe the end behavior of a function given its graph.
  • Identify horizontal and/or vertical asymptotes from the graph of a function, if they exist.
  • Describe and relate the characteristics of the graphs of linear, quadratic, exponential, and piecewise-defined functions, including contextual situations.

Key concepts covered by AFDA.AF.2

  • domain and range
  • graphical analysis
  • contextual domain
  • contextual range
  • intervals of increase
  • intervals of decrease
  • constant intervals
  • graph analysis
  • absolute maximum
  • absolute minimum
  • function extrema
  • zeros of a function
  • x-intercepts
  • y-intercepts
  • function values
  • graph points
  • input-output relationship
  • end behavior
  • function behavior
  • horizontal asymptotes
  • vertical asymptotes
  • graph characteristics
  • linear functions
  • quadratic functions
  • exponential functions
  • piecewise functions
  • contextual analysis

How to study and practice SOL AFDA.AF.2

Start with a quick diagnostic to see whether AFDA.AF.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.

  • AFDA.AF.1Investigate, analyze, and compare linear, quadratic, and exponential function families using transformations, algebraically and graphically.
  • AFDA.AF.3Represent and interpret contextual situations with constraints that require optimization using linear programming techniques.

Frequently asked questions about SOL AFDA.AF.2

What is Virginia SOL AFDA.AF.2?

SOL AFDA.AF.2 is a Algebra Functions Data Analysis Standard of Learning in the Algebra and Functions strand. It expects students to investigate and analyze characteristics of the graphs of linear, quadratic, exponential, and piecewise-defined functions.

What skills does SOL AFDA.AF.2 cover?

SOL AFDA.AF.2 is assessed on 8 skills: determine the domain and range of a function given a graphical representation, including contextual limitations; identify intervals on a graph where a function is increasing, decreasing, or constant; identify the location and value of the absolute maximum and absolute minimum of a function over its domain from a graph; determine the zeros and intercepts of a function from its graph; describe the connection between points on the graph and the value of a function; describe the end behavior of a function given its graph; identify horizontal and/or vertical asymptotes from the graph of a function, if they exist; describe and relate the characteristics of the graphs of linear, quadratic, exponential, and piecewise-defined functions, including contextual situations.

What strand of Algebra Functions Data Analysis is SOL AFDA.AF.2 in?

SOL AFDA.AF.2 belongs to the Algebra and Functions reporting strand of the Algebra Functions Data Analysis Virginia Standards of Learning.

How do I study and practice for SOL AFDA.AF.2?

Start with a diagnostic to see whether AFDA.AF.2 is already solid, then work the 8 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.