The Math Content Team has released new multiple choice and multi-option questions that are aligned to the Common Core domain Functions at the high school level. The questions in this content release refer to the conceptual category of Interpreting Functions. The following standards are included in the new content release:
Understand the concept of a function and use function notation.
- F.IF.1 – Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
- F.IF.2 – Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
- F.IF.3 – Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n ≥ 1.
Sample tasks that students are asked to complete:
- Identify the domain and/or range of a function given in a scenario.
- Select the proper graph, given a function.
- Determine if a graph represents a function.
- Determine if the outputs of multiple functions are common.
- Determine which functions model a sequence.
- Identify elements of a sequence and write the function that models the situation.
- Find the missing terms of a sequence.