Day 06 in Mat120

• Distribute Section 7.1a Worksheet

• No problems to return

• No quiz opportunity.

• Roll

• No problems to collect

• Questions on old stuff? Section 1.3 problems? worksheet study questions (section summary)

• Today: you'll go to the board to study some functions, and we'll see what you can do. As you seek to characterize these functions you'll want to keep in mind the following (at least!):
  • Basics
    • Representations
    • Domains and ranges
    • Asymptotes
    • Roots
    • Symmetry
  • Modeling
    • Shapes of functions
    • Linear Model
    • Characteristics of functions to keep in mind (e.g. vertical asymptotes, periodicity)
  • Transformations
    • Vertical stretching
    • Vertical shifts
    • Horizontal stretching
    • Horizontal shifts
    • Reflections about the x-axis
    • Reflections about the y-axis
  • Compositions
    • writing a function as a composition
    • domain and range constraints of compositions
  Problems
  • #26, p. 47
  • #58, p. 49
  • #66, p. 49 (can you think of a function which would help you guess the shape?)
  • #42, p. 56

Next time: Functions that do flips (first part of section 7.1)