Standard(s):
[MA2015] AL1 (9-12) 26 : 26 ) Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. [F-IF2]
[MA2019] AL1-19 (9-12) 15 : 15. Define a function as a mapping from one set (called the domain) to another set (called the range) that assigns to each element of the domain exactly one element of the range.
a. Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. Note: 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.
b. Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. Limit to linear, quadratic, exponential, and absolute value functions.
[MA2019] AL1-19 (9-12) 22 : 22. Define sequences as functions, including recursive definitions, whose domain is a subset of the integers.
a. Write explicit and recursive formulas for arithmetic and geometric sequences and connect them to linear and exponential functions.
Example: A sequence with constant growth will be a linear function, while a sequence with proportional growth will be an exponential function.
