Interpreting Functions
PrintInterpreting 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.
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.
Which crew plants more trees per hour?
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 |
|---|---|
| 1 | 11 |
| 4 | 44 |
| 7 | 77 |
Which crew plants more trees per hour?
Evaluate:
What is the domain of f(x)?

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