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.