Interpreting Functions

### Lessons for this standard

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### Related standards

- This standard is part of: MGSE9-12.F.IF
- This standard is derived from: CCSS.Math.Content.HSF-IF.A

#### More specific sub-standards

Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. (Generally, the scope of high school math defines this subset as the set of natural numbers 1,2,3,4 . . .) By graphing or calculating terms, students should be able to show how the recursive sequence πβ = 7, πβ = π βββ + 2; the sequence πβ = 2(π β 1) + 7; and the function π(π₯) = 2π₯ + 5 (when π₯ is a natural number) all define the same sequence.

Understand that a function from one set (the input, called the domain) to another set (the output, called the range) assigns to each element of the domain exactly one element of the range, i.e., each input value maps to exactly one output value. If π is a function, π₯ is the input (an element of the domain), and π(π₯) is the output (an element of the range). Graphically, the graph is π¦ = π(π₯).

#### Similar standards elsewhere

Understand the concept of a function and use function notation

Understand the concept of a function and use function notation

Understand the concept of a function and use function notation

Understand the concept of a function and use function notation