1. Increasing/ Decreasing
Calculus Critical Points Jeopardy
Graphic Extrema
Derivatives
Critical Points
Increasing/ Decreasing
Maximum/ Minimum 10 20 30 40 50

2. Use the graph below to state the Absolute Extrema.
Max/ Min – 10 points
Use the graph below to state
the Absolute Extrema.
Category

3. State the x values of Relative Maximum.
Max/Min – 20 points
State the x values of Relative Maximum.
Category

4. Max/Min – 30 points
State the x values of Relative Minimum

5. Max/Min – 40 points
State the x values of
ALL Relative Extrema.

6. Max/Min – 50 points
State the x values of Relative
& Absolute Extrema.

7. Derivative – 10 points
f( x) = x3 – 6x2 + 12x – 5
f( x) = ?? Factored completely!

8. Derivatives – 20 points
f( x) = 4x2 – 10x + 14
f ‘( 4 ) = ?

9. Derivative – 30 points
F(x) = 3x4 – 4x3 -36x2
f ’(x) = 0 when x = ???

10. Derivatives – 40 points
Use the Chain rule to take derivative.
(Factor for additional 20 points)
Y = (2x3 – 6x2 ) 4
Y ‘ = ?

11. Derivatives – 50 points
Calculate and simplify the derivative.

12. Critical Points – 10 points
State the critical point of
f(x) = 4x2 – 16x - 12

13. Critical Points – 20 points
State the 2 critical points of
f(x) = x3 – 12x + 7

14. Critical Points – 30 points
State the 2 critical points of
f(x) = 2x3 + 3x2 – 12x + 8

15. Critical Points – 40 points
State the critical points of
f(x) = x4 – 2x2 + 1

16. Critical Points – 50 points
State the critical points of
f(x) = 3x4 + 16x3 + 18x2 - 12

17. Increasing/ Decreasing – 10 points
For the curve below state the
decreasing intervals

18. Increasing/ Decreasing – 20 points
For the curve below [-2,2]
state the increasing intervals.

19. Increasing/ Decreasing – 30 points
Use the sign table below to state the
Increasing intervals.

20. State the decreasing interval
Increasing/ Decreasing – 40 points
f( x) = x3 + 3x2 + 4
State the decreasing interval

21. Increasing/Decreasing – 50 points
To the right of a relative maximum
of a continuous function, the curve is
_________
(increasing, decreasing, or
unable to determine)

22. Maximum/ Minimum – 10 points
If the graph of a continuous function
changes from increasing to decreasing
Then a ____________ has occurred.
(maximum, minimum, or
unable to determine)

23. Maximum/Minimum– 20 points
For a continuous function,
If f ‘ (c ) < 0 and f ‘ (c ) > 0 then
F (c ) is a _______.
(Maximum, minimum, or
Unable to determine)

24. Maximum/Minimum – 30 points
Use the sign table to state the x value of
the maximum point of the continuous function

25. Maximum/Minimum – 40 points
State the x values of the continuous
curve’s minimums.

26. Maximum/ Minimum – 50 points
State the x value of the relative maximum
point for the function,
Y = 2x3 + 3x2 – 36x