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- 1. Multiple Choice
Does the mean value theorem apply to g on [- 2, 5]
yes
no
- 2. Multiple Choice
Answer yes or no
yes
no
- 3. Multiple Choice
Does the mean value theorem apply to f on [0, 5] ?
yes
no
- 4. Multiple Choice
The Mean Value Theorem applies to f(x) = 3x - x2 on the interval [2, 5]. Find the value of x where the slope of the tangent line is equal to the slope of the secant line
2
-4
3.5
-2
- 5. Multiple ChoiceIf (a,b) is a local minimum, then what will be true about f'(a)?It's positiveIt's negativeIt's zeroCannot be determined
- 6. Multiple ChoiceWhat is the absolute max of this function?0infinityDNE2.5
- 7. Multiple ChoiceWhat is the absolute min of this function?0-7.5-7.5 and 04
- 8. Multiple Choice
What type of extrema is (-3,2). Be as precise as possible.
minimum
maximum
relative minimum
Relative maximum
- 9. Multiple Choice
What type of extrema is x=2. Be as precise as possible.
minimum
global maximum
relative maximum
relative minimum
- 10. Multiple Choice
In order for the Extreme Value theorem to apply, which of these must be true. Select all that apply.
It must be a function
It must be closed
It must be open
It must be continuous
It must be discontinuous
- 11. Multiple Choice
Does this graph have an absolute maximum?
Yes, it has a highest point!
No, it has many high spots, but not a "highest" spot.
yes
well, I have been wrong so many times before.
- 12. Multiple ChoiceThe derivative f'(x) of the function f(x) is shown. On what interval(s) is the FUNCTION f(x) increasing?(-∞, -1) only( 3, ∞) only(-∞, -1) and ( 3, ∞)(1, ∞)
- 13. Multiple Choicef' is given, which could be f?ABC
- 14. Multiple Choice
Which one of the following statements is always true?
When a graph is increasing, its derivative is negative.
When a graph is decreasing, so is its derivative.
When a graph is decreasing, its derivative is negative.
When a graph is increasing, so is its derivative.
- 15. Multiple Choice
7.
(A)
(B)
(C)
(D)
- 16. Multiple Choice
If a function has a derivative that is positive, what does that tell you?
The function is increasing
The function is decreasing
- 17. Multiple Choice
Derivative means the same thing as
slope of the tangent line
slope of the normal line
slope of the secant line
instantaneous acceleration
- 18. Multiple Choice7ABCD
- 19. Multiple Choice
For what values of x does f(x) have a horizontal tangent?
-3.5, 3.5
-5, 5
there are no horizontal tangents
-5, 0, 5
- 20. Multiple Choice
According to the graph, at the point x=-2, is f(x) increasing or decreasing and why?
At x=-2 f(x) is increasing because the graph has a positive slope.
At x=-2 f(x) is decreasing because the graph has a positive slope.
At x=-2 f(x) is decreasing because the graph lies below the x-axis.
At x=-2 f(x) is decreasing because the graph has a negative slope
- Answer choicesTagsAnswer choicesTags