Mathematical Analysis · Functional Relationships

Virginia SOL MA.FR.2

Virginia SOL MA.FR.2 is part of the Functional Relationships strand in Mathematical Analysis (Math). Under this Standards of Learning objective, students analyze the characteristics of exponential and logarithmic functions and sketch their graphs. Below is what MA.FR.2 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice MA.FR.2 for the Virginia SOL test.

What SOL MA.FR.2 means

Analyze the characteristics of exponential and logarithmic functions and sketch their graphs.

Skills you’ll practice for MA.FR.2

  • Generalize characteristics of exponential and logarithmic functions from an equation or a graph.
  • Define e and estimate its value.
  • Convert between equations written in logarithmic and exponential form.
  • Use laws of exponents and properties of logarithms to solve equations and simplify expressions.
  • Represent contextual problems using exponential and logarithmic functions, including common and natural logarithms.
  • Sketch the graph of exponential and logarithmic functions and identify asymptotes, end behavior, intercepts, domain, and range.

Key concepts covered by MA.FR.2

  • exponential functions
  • logarithmic functions
  • function characteristics
  • graph analysis
  • Euler's number
  • e
  • mathematical constant
  • constant estimation
  • logarithmic form
  • exponential form
  • equation conversion
  • logarithm properties
  • exponent laws
  • equation solving
  • expression simplification
  • contextual problems
  • exponential models
  • logarithmic models
  • common logarithm
  • natural logarithm
  • exponential graphs
  • logarithmic graphs
  • asymptotes
  • end behavior
  • intercepts
  • domain
  • range

How to study and practice SOL MA.FR.2

Start with a quick diagnostic to see whether MA.FR.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.

  • MA.FR.1Analyze compositions of functions to determine and verify inverses of functions.
  • MA.FR.3Analyze sequences and finite series, and model and solve problems in context using sequences and series.

Frequently asked questions about SOL MA.FR.2

What is Virginia SOL MA.FR.2?

SOL MA.FR.2 is a Mathematical Analysis Standard of Learning in the Functional Relationships strand. It expects students to analyze the characteristics of exponential and logarithmic functions and sketch their graphs.

What skills does SOL MA.FR.2 cover?

SOL MA.FR.2 is assessed on 6 skills: generalize characteristics of exponential and logarithmic functions from an equation or a graph; define e and estimate its value; convert between equations written in logarithmic and exponential form; use laws of exponents and properties of logarithms to solve equations and simplify expressions; represent contextual problems using exponential and logarithmic functions, including common and natural logarithms; sketch the graph of exponential and logarithmic functions and identify asymptotes, end behavior, intercepts, domain, and range.

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

SOL MA.FR.2 belongs to the Functional Relationships reporting strand of the Mathematical Analysis Virginia Standards of Learning.

How do I study and practice for SOL MA.FR.2?

Start with a diagnostic to see whether MA.FR.2 is already solid, then work the 6 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.