Functions

Virginia SOL A.F.2

Investigate, analyze, and compare characteristics of functions, including quadratic and exponential functions, and model relationships.

What students need to be able to do

  • 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.