1. WHAT YOU SHOULD HAVE ON YOUR DESK…
Unit 3 Test
Curve Sketching packet
Curve Sketching unit plan (blue)
Graphs for notes today (stapled together but you need to cut out)
Orange chart (also for notes today)
WHAT YOU NEED TO BE DOING…
Get our your Unit 3 review HW & unit plan so you can show me that you did at least 40 problems
Add HW points so we can figure out your Unit 3 HW grade
Cut out graphs on stapled packet

2. Keeper 21 Honors Calculus
Curve Sketching
Keeper 21
Honors Calculus

3. When is a graph differentiable
A graph is differentiable anywhere EXCEPT where there is the following :
Cusp
Corner
Vertical Tangent
Discontinuity
Removable
Infinite
Jump

4. State the x values where 𝑓 is not differentiable and the reason

5. State the x values where 𝑓 is not differentiable and the reason

6. Critical points, Concavity & inflection points
Maximum
Critical Points – the graph’s turning points or the Local Max (peaks) & Local Mins (valleys)
Inflection Points – a point on a graph where it changes concavity. 1 side is concave down & 1 side is concave up
Minimum

8. Relationship Between 𝑓, 𝑓 ′ , 𝑓′′
-Cusp
-Corner
-Discontinuity
-Removable
-Infinite
-jump
-Vertical Tangent
DNE
Local max, local min (local extrema), horizontal tangent
On the x-axis
𝑓 increasing
Positive (Above the x-axis)
𝑓 decreasing
Negative (Below the x-axis)
𝑓 concave up
Increasing
𝑓 concave down
Decreasing
Points of Inflections
Local Extrema
Change Signs

9. What can we say about 𝑔, 𝑔 ′ , 𝑔′′ for each segment of the graph 𝑦=𝑔(𝑥) 1.

10. What can we say about 𝑔, 𝑔 ′ , 𝑔′′ for each segment of the graph 𝑦=𝑔 𝑥 2.

11. What can we say about 𝑔, 𝑔 ′ , 𝑔′′ for each segment of the graph 𝑦=𝑔(𝑥) 3.

12. What can we say about 𝑔, 𝑔 ′ , 𝑔′′ for each segment of the graph 𝑦=𝑔 𝑥 4.

13. What can we say about 𝑔, 𝑔 ′ , 𝑔′′ for each segment of the graph 𝑦=𝑔 𝑥 5.

14. What can we say about 𝑔, 𝑔 ′ , 𝑔′′ for each segment of the graph 𝑦=𝑔 𝑥 6.

15. 1. Graph the First Derivative

16. 2. Graph the First Derivative

17. 3. Graph the First Derivative

18. 4. Graph the First Derivative

19. 5. Graph the First Derivative

20. 6. Graph the First Derivative

21. 7. Graph the F’(x) and f”(x)

22. 8. Graph the F’(x) and f”(x)

23. Graph the First Derivative

24. Graph the First Derivative