Algebra 1 · Functions
Virginia SOL A.F.2
Virginia SOL A.F.2 is part of the Functions strand in Algebra 1 (Math). Under this Standards of Learning objective, students investigate, analyze, and compare characteristics of functions, including quadratic and exponential functions, and model relationships. Below is what A.F.2 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice A.F.2 for the Virginia SOL test.
What SOL A.F.2 means
Investigate, analyze, and compare characteristics of functions, including quadratic and exponential functions, and model relationships.
Practice Algebra 1 SOL questions
Free Algebra 1 questions from official Virginia Department of Education released SOL tests — good practice while you work on A.F.2 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. If (f(x)=8x+6), what is (f(-1))?
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Answer: G — −2
2. If (f(x)=5x-2), what is (f(3))?
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Answer: H — 13
3. Which is a zero of (f(x)=5x-20)?
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Answer: C — 4
4. The ordered pairs of a function are (−4,1), (−2,0), and (8,−1). What is the range?
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Answer: G — −1,0,1
Skills you’ll practice for A.F.2
- Determine whether a relation represented by ordered pairs, tables, mappings, or graphs is a function and, if so, determine the domain and range.
- Given an equation or graph, determine key characteristics of a quadratic function including x-intercepts (zeros), y-intercept, vertex, and domain and range.
- Graph a quadratic function in two variables using transformations and other strategies.
- Make connections between the algebraic (standard and factored forms) and graphical representation of a quadratic function.
- Given an equation or graph of an exponential function in the form y = ab^x, interpret key characteristics including y-intercepts and domain and range.
- Graph an exponential function in two variables using transformations and other strategies.
- For any value x in the domain of f, determine f(x) of a quadratic or exponential function and determine x given any value f(x) in the range of a quadratic function.
- Compare and contrast the key characteristics of linear, quadratic, and exponential functions using tables and graphs.
Key concepts covered by A.F.2
- function determination
- domain
- range
- ordered pairs
- tables
- mappings
- graphs
- quadratic function characteristics
- x-intercepts
- y-intercept
- vertex
- graph quadratic functions
- transformations
- two variables
- quadratic function connections
- algebraic forms
- graphical representation
- standard form
- factored form
- exponential function characteristics
- y-intercepts
- exponential form
- graph exponential functions
- evaluate quadratic functions
- evaluate exponential functions
- compare functions
- linear functions
- quadratic functions
- exponential functions
How to study and practice SOL A.F.2
Start with a quick diagnostic to see whether A.F.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 Algebra 1 standards in Functions
- A.F.1 — Investigate, analyze, and compare linear functions algebraically and graphically, and model linear relationships.
Frequently asked questions about SOL A.F.2
What is Virginia SOL A.F.2?
SOL A.F.2 is a Algebra 1 Standard of Learning in the Functions strand. It expects students to investigate, analyze, and compare characteristics of functions, including quadratic and exponential functions, and model relationships.
What skills does SOL A.F.2 cover?
SOL A.F.2 is assessed on 8 skills: determine whether a relation represented by ordered pairs, tables, mappings, or graphs is a function and, if so, determine the domain and range; given an equation or graph, determine key characteristics of a quadratic function including x-intercepts (zeros), y-intercept, vertex, and domain and range; graph a quadratic function in two variables using transformations and other strategies; make connections between the algebraic (standard and factored forms) and graphical representation of a quadratic function; given an equation or graph of an exponential function in the form y = ab^x, interpret key characteristics including y-intercepts and domain and range; graph an exponential function in two variables using transformations and other strategies; for any value x in the domain of f, determine f(x) of a quadratic or exponential function and determine x given any value f(x) in the range of a quadratic function; compare and contrast the key characteristics of linear, quadratic, and exponential functions using tables and graphs.
What strand of Algebra 1 is SOL A.F.2 in?
SOL A.F.2 belongs to the Functions reporting strand of the Algebra 1 Virginia Standards of Learning.
How do I study and practice for SOL A.F.2?
Start with a diagnostic to see whether A.F.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.