Algebra 2 · Functions
Virginia SOL A2.F.2
Virginia SOL A2.F.2 is part of the Functions strand in Algebra 2 (Math). Under this Standards of Learning objective, students investigate and analyze characteristics of square root, cube root, rational, polynomial, exponential, logarithmic, and piecewise-defined functions. Below is what A2.F.2 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice A2.F.2 for the Virginia SOL test.
What SOL A2.F.2 means
Investigate and analyze characteristics of square root, cube root, rational, polynomial, exponential, logarithmic, and piecewise-defined functions.
Practice Algebra 2 SOL questions
Free Algebra 2 questions from official Virginia Department of Education released SOL tests — good practice while you work on A2.F.2 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. When completely factored, (2x^2+2x-24) is equivalent to —
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Answer: B — (2(x+3)(x-4))
2. Which of the following is equivalent to (sqrt72+sqrt50)?
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Answer: A — (11sqrt2)
3. Which expression is equivalent to (sqrt 3 x^6y^9)?
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Answer: A — (x^2y^3)
4. Which expression is equivalent to (64x^2-81y^2)?
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Answer: C — ((8x+9y)(8x-9y))
Skills you’ll practice for A2.F.2
- Determine and identify the domain, range, zeros, and intercepts of a function presented algebraically or graphically.
- Compare and contrast the characteristics of square root, cube root, rational, polynomial, exponential, logarithmic, and piecewise-defined functions.
- Determine the intervals on which the graph of a function is increasing, decreasing, or constant.
- Determine the location and value of absolute (global) maxima and minima of a function.
- Determine the location and value of relative (local) maxima or minima of a function.
- For any value x in the domain of f, determine f(x) using a graph or equation.
- Describe the end behavior of a function.
- Determine the equations of any vertical and horizontal asymptotes of a function using a graph or equation.
- Determine the inverse of a function algebraically and graphically, given the equation of a linear or quadratic function.
- Graph the inverse of a function as a reflection over the line y = x.
- Determine the composition of two functions algebraically and graphically.
Key concepts covered by A2.F.2
- domain
- range
- zeros
- intercepts
- function characteristics
- function comparison
- characteristics
- intervals
- increasing
- decreasing
- constant
- absolute maxima
- absolute minima
- function extrema
- relative maxima
- relative minima
- function evaluation
- graph
- equation
- end behavior
- function
- asymptotes
- vertical
- horizontal
- inverse function
- algebraic
- graphical
- graphing
- reflection
- function composition
How to study and practice SOL A2.F.2
Start with a quick diagnostic to see whether A2.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 2 standards in Functions
- A2.F.1 — Investigate, analyze, and compare square root, cube root, rational, exponential, and logarithmic function families using transformations.
Frequently asked questions about SOL A2.F.2
What is Virginia SOL A2.F.2?
SOL A2.F.2 is a Algebra 2 Standard of Learning in the Functions strand. It expects students to investigate and analyze characteristics of square root, cube root, rational, polynomial, exponential, logarithmic, and piecewise-defined functions.
What skills does SOL A2.F.2 cover?
SOL A2.F.2 is assessed on 11 skills: determine and identify the domain, range, zeros, and intercepts of a function presented algebraically or graphically; compare and contrast the characteristics of square root, cube root, rational, polynomial, exponential, logarithmic, and piecewise-defined functions; determine the intervals on which the graph of a function is increasing, decreasing, or constant; determine the location and value of absolute (global) maxima and minima of a function; determine the location and value of relative (local) maxima or minima of a function; for any value x in the domain of f, determine f(x) using a graph or equation; describe the end behavior of a function; determine the equations of any vertical and horizontal asymptotes of a function using a graph or equation; determine the inverse of a function algebraically and graphically, given the equation of a linear or quadratic function; graph the inverse of a function as a reflection over the line y = x; determine the composition of two functions algebraically and graphically.
What strand of Algebra 2 is SOL A2.F.2 in?
SOL A2.F.2 belongs to the Functions reporting strand of the Algebra 2 Virginia Standards of Learning.
How do I study and practice for SOL A2.F.2?
Start with a diagnostic to see whether A2.F.2 is already solid, then work the 11 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.