F-IF: Interpreting Functions

Interpreting Functions

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Interpreting Functions establishes the formal definition of a function, introduces function notation, and develops fluency with reading and representing functions across multiple forms. Three clusters progress from the concept of a function and its domain to interpreting key features in context, to analyzing functions using graphs, tables, and algebraic expressions.

F-IF.AUnderstand the concept of a function and use function notationF-IF.BInterpret functions that arise in applications in terms of the contextF-IF.CAnalyze functions using different representations
Example Problems
Evaluate:
Find .
Two landscaping crews plant trees at constant rates. Crew East plants 9 trees per hour, and they had planted 36 trees after 4 hours.

The number of trees planted by Crew West as a function of time (in hours) is given by the table of values.
Time (hours)Trees planted
111
444
777


Which crew plants more
trees per hour?
Evaluate:


What is the domain of f(x)?
Goblins

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