Algebra 2 · Functions
Virginia SOL A2.F.1
Virginia SOL A2.F.1 is part of the Functions strand in Algebra 2 (Math). Under this Standards of Learning objective, students investigate, analyze, and compare square root, cube root, rational, exponential, and logarithmic function families using transformations. Below is what A2.F.1 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice A2.F.1 for the Virginia SOL test.
What SOL A2.F.1 means
Investigate, analyze, and compare square root, cube root, rational, exponential, and logarithmic function families using transformations.
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.1 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. Which ordered pair represents a solution to the system of inequalities? (2x+4y 12) (3x-y<2)
Show answer
Answer: C — (−3, 2)
2. The matrix equation ( 4 & -3-1 & 1 x = -26 ) represents which system of linear equations?
Show answer
Answer: G — ( 4x-3y=-2-x+y=6 )
3. Which number is equivalent to ( (32)^5 )?
Show answer
Answer: C — 0
4. If (x<0), which expression is equivalent to sqrtx^2x,?
Show answer
Answer: B — −1
Skills you’ll practice for A2.F.1
- Distinguish between the graphs of parent functions for square root, cube root, rational, exponential, and logarithmic function families.
- Write the equation of a square root, cube root, rational, exponential, or logarithmic function, given a graph, using transformations of the parent function.
- Graph a square root, cube root, rational, exponential, or logarithmic function, given the equation, using transformations of the parent function.
- Determine when two variables are directly proportional, inversely proportional, or neither, given a table of values.
- Compare and contrast the graphs, tables, and equations of square root, cube root, rational, exponential, and logarithmic functions.
Key concepts covered by A2.F.1
- parent functions
- graph comparison
- function families
- function equation
- graph transformation
- parent function
- function graphing
- proportionality
- direct variation
- inverse variation
- function comparison
- graphs
- tables
- equations
How to study and practice SOL A2.F.1
Start with a quick diagnostic to see whether A2.F.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 Algebra 2 standards in Functions
- A2.F.2 — Investigate and analyze characteristics of square root, cube root, rational, polynomial, exponential, logarithmic, and piecewise-defined functions.
Frequently asked questions about SOL A2.F.1
What is Virginia SOL A2.F.1?
SOL A2.F.1 is a Algebra 2 Standard of Learning in the Functions strand. It expects students to investigate, analyze, and compare square root, cube root, rational, exponential, and logarithmic function families using transformations.
What skills does SOL A2.F.1 cover?
SOL A2.F.1 is assessed on 5 skills: distinguish between the graphs of parent functions for square root, cube root, rational, exponential, and logarithmic function families; write the equation of a square root, cube root, rational, exponential, or logarithmic function, given a graph, using transformations of the parent function; graph a square root, cube root, rational, exponential, or logarithmic function, given the equation, using transformations of the parent function; determine when two variables are directly proportional, inversely proportional, or neither, given a table of values; compare and contrast the graphs, tables, and equations of square root, cube root, rational, exponential, and logarithmic functions.
What strand of Algebra 2 is SOL A2.F.1 in?
SOL A2.F.1 belongs to the Functions reporting strand of the Algebra 2 Virginia Standards of Learning.
How do I study and practice for SOL A2.F.1?
Start with a diagnostic to see whether A2.F.1 is already solid, then work the 5 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.