Question 1 : Given curve of y = (x - 1)*(x - 2)*(x - 3)
- 1. Find domain if curve is deceasing
- 2. Find domain if curve is increasing
- 3. Find domain if curve has extreme points
- 4. Find domain if curve concave downward
- 5. Find domain if curve concave upward
- 6. Find domain if curve has point of inflection
Question 2 : Given curve of y = (x - 1)*(x - 2)*(x - 3)
- 1. Find domain if y' is negative
- 2. Find domain if y' is positive
- 3. Find domain if y' is zero
- 4. Find domain if y" is negative
- 5. Find domain if y" is positive
- 6. Find domain if y" is zero
Question 3 : Quick sketch y = (x - 1)*(x - 2)*(x - 3)
- 1. y-intercept is -6
- 2. Draw xy coordinates
- 3. Put (0,-6), (1,0), (2,0), (3,0) on xy coordinates
- 4. When x LT 1, y is negative
- 5. Sketch curve from (0,-6) to (1,0)
- 6. From (1,0) to (2,0), y is positive and concave downward
- 7. From (2,0) to (3,0), y is negative and concave upward
- 8. After (3,0) the curve is positive and concave upward
Reference
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