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VirginiaMaths

Functions

6 dot points across 6 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you determine the domain and range of a function from its graph, table, or context, including discrete versus continuous?

Determine and represent the domain and range of a function from a graph, table, set of ordered pairs, or context, distinguishing discrete from continuous and reasonable domains in real situations (A.F.2).
A Virginia SOL Algebra I answer on A.F.2: reading domain and range from graphs, tables, and ordered pairs, discrete versus continuous, interval and inequality notation, and reasonable domains in context.
9 min answer →

What is a function, how do you recognize one, and how do you use and evaluate function notation?

Determine whether a relation is a function from a table, graph, mapping, or equation, and use and evaluate function notation f(x) (A.F.1).
A Virginia SOL Algebra I answer on A.F.1: the definition of a function, the vertical line test, recognizing functions from tables and mappings, and evaluating and interpreting function notation f(x).
9 min answer →

How do you find and interpret the slope of a linear function as a rate of change, and read it from a graph, table, or equation?

Calculate and interpret the slope of a linear function as a rate of change from a graph, table, equation, or two points, and identify the meaning of slope and intercepts in context (A.F.3).
A Virginia SOL Algebra I answer on A.F.3: the slope formula, slope as rate of change, reading slope and intercepts from graphs and tables, and interpreting them in context.
9 min answer →

How do you graph and analyze a quadratic function, including its vertex, axis of symmetry, and the forms of its equation?

Graph and analyze quadratic functions, identifying the vertex, axis of symmetry, intercepts, and direction of opening, and connecting standard, vertex, and factored forms (A.F.5).
A Virginia SOL Algebra I answer on A.F.5: the parabola, finding the vertex and axis of symmetry, direction of opening, the three forms of a quadratic, and reading intercepts.
9 min answer →

How do you write the equation of a linear function from a graph, a slope and a point, or two points, and what are the relationships for parallel and perpendicular lines?

Write equations of linear functions in slope-intercept and point-slope form given a graph, a slope and a point, or two points, and apply the slope relationships for parallel and perpendicular lines (A.F.4).
A Virginia SOL Algebra I answer on A.F.4: writing linear equations in slope-intercept and point-slope form, building from a slope and a point or two points, and parallel and perpendicular slope relationships.
9 min answer →

How do you identify the key features of a function's graph: intercepts, zeros, maximum or minimum, and intervals of increase and decrease?

Identify and interpret key features of a function graph, including x- and y-intercepts, zeros, maximum or minimum values, and intervals where the function increases or decreases (A.F.1).
A Virginia SOL Algebra I answer on key features of function graphs: x- and y-intercepts, zeros, maximum and minimum, intervals of increase and decrease, and interpreting them in context.
9 min answer →