What are critical numbers

1
Do Now Answer the Questions

• What are critical numbers?
• What does the first derivative tell us about the
  original function?
• What does the second derivative tell us about
  the original function?

2
HW Problems Review

• Page
• 353 1,2,3,4,
• 5,69,17,42
• ,75,76,77

3
Lesson

• Observations when sketching graphs
• Y and X intercepts
• Symmetry (Y axis, X axis, origin)
• Domain and Minimal Range
• Vertical and Horizontal asymptotes
• Differentiability
• First and Second Derivatives
• (increasing, decreasing) (concavity)

4
Class Work

• Math Graphs 43,44,45,46,47,48

5
Class Work

• Sketch the graphs and label intercepts, relative
  extrema, points of inflection and asymptotes.

6
Class Work

• Create a function which has
• 1) Vertical asymptote x 5
• Horizontal asymptote y 0
• 2) Vertical asymptote x 5
• Slant asymptote 3x2