- Last Time: Properties of functions
- Assignment for next time: work on your problems, and come
with questions. Remember that your assignments will be due on Friday, 9/3: I'll
probably just roll the die to decide which of the three I'll pick up: this will
produce essentially the same number of assignments collected as would randomly
choosing to grade each with 1/3 probability (the expected values of the number
of assignments is the same).
- Today:
- Last time: applications of linear functions
- Problems from last time, pp. 27-29:
- section summary: 2.1 (Properties of Functions)
- Definition and examples
- a function is a rule that assigns to each element
of one set (the domain) exactly one element of
another set (the range).
- Functions can be defined in various ways:
- formula
- data
- graph
- verbally
- Graphs of functions and the vertical line test
- The domain of a function is taken to be the largest set
consistent with the definition
and the specification of the problem
- Compositions of functions
- Types of functions:
- linear functions
- non-linear functions (whose graphs are not
straight lines)
- Problems, pp. 59-63
- #2, 3, 14, 29, 37, 55-57, 65
- Next time: Problem session
Website maintained by Andy Long.
Comments appreciated.