Mathematical Analysis · Functional Relationships
Virginia SOL MA.FR.1
Virginia SOL MA.FR.1 is part of the Functional Relationships strand in Mathematical Analysis (Math). Under this Standards of Learning objective, students analyze compositions of functions to determine and verify inverses of functions. Below is what MA.FR.1 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice MA.FR.1 for the Virginia SOL test.
What SOL MA.FR.1 means
Analyze compositions of functions to determine and verify inverses of functions.
Skills you’ll practice for MA.FR.1
- Construct the composition of functions algebraically.
- Construct the composition of functions graphically.
- Determine the domain and range of composite functions algebraically.
- Determine the domain and range of composite functions graphically.
- Develop the inverse of a function algebraically.
- Develop the inverse of a function graphically.
- Compare the domain and range of the inverse of a function with the original function, both algebraically and graphically.
- Use mathematical reasoning to generalize and communicate the criteria for an inverse function to exist.
Key concepts covered by MA.FR.1
- function composition
- algebraic composition
- composite functions
- function operations
- graphical composition
- graph analysis
- composite domain
- composite range
- domain analysis
- range analysis
- graphical domain
- graphical range
- algebraic inverse
- function inverse
- inverse functions
- inverse calculation
- graphical inverse
- inverse domain
- inverse range
- function comparison
- algebraic comparison
- graphical comparison
- inverse criteria
- one-to-one functions
- horizontal line test
- mathematical reasoning
How to study and practice SOL MA.FR.1
Start with a quick diagnostic to see whether MA.FR.1 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 Functional Relationships
Frequently asked questions about SOL MA.FR.1
What is Virginia SOL MA.FR.1?
SOL MA.FR.1 is a Mathematical Analysis Standard of Learning in the Functional Relationships strand. It expects students to analyze compositions of functions to determine and verify inverses of functions.
What skills does SOL MA.FR.1 cover?
SOL MA.FR.1 is assessed on 8 skills: construct the composition of functions algebraically; construct the composition of functions graphically; determine the domain and range of composite functions algebraically; determine the domain and range of composite functions graphically; develop the inverse of a function algebraically; develop the inverse of a function graphically; compare the domain and range of the inverse of a function with the original function, both algebraically and graphically; use mathematical reasoning to generalize and communicate the criteria for an inverse function to exist.
What strand of Mathematical Analysis is SOL MA.FR.1 in?
SOL MA.FR.1 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.1?
Start with a diagnostic to see whether MA.FR.1 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.