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- 1. Multiple Choice
Identify the interval from the derivative graph where the function is concave up.(-1,1) & (3,4)(-3,-2)(-2,-1)(-3,-1) & (1,3) - 2. Multiple ChoiceIdentify the interval from the derivative graph where the function is concave down(-1,1) & (3,4)(-2,4)(-3,-1) & (1,3)(-2,1) & (1,4)
- 3. Multiple Choice
concavity
concave up only
concave down only
both concave up and down
- 4. Multiple Choice
concavity
concave up only
concave down only
both concave up and down
none
- 5. Multiple ChoiceUse the sign chart for f'(x).
There is(are) ...a local maximum at x = -2.a local maximum at x = 4.local maxima at x = -2 and x = 4.no extrema. - 6. Multiple ChoiceWhen f'(x) changes from negative to positive, there is(are) ...a maximum.a minimum.no extrema.
- 7. Multiple ChoiceWhen f'(x) changes from positive to negative, there is(are) ...a maximum.a minimum.no extrema.
- 8. Multiple ChoiceGiven the following graph of f', the derivative of f. For what x-value does f have a relative minimum?x=-1 and x=4x=-3x=1x=3
- 9. Multiple ChoiceOver what intervals is f(x) decreasing?(-∞, -1) ∪ (1, ∞)(-∞, -√3) ∪ (0, √3)(-1, 1)(-√3, 0) ∪ (√3, ∞)
- 10. Multiple ChoiceFind the critical points of f(x) = 2x4- 4x2 + 1x= 0x = -1, 1x = -1, 0, 1no critical points
- 11. Multiple ChoiceWhat will be true at an inflection point? (select the best answer)f(x)=0f'(x)=0f''(x)=0The function is undefined
- 12. Multiple Choice
If f'(x) = 0 what does that imply about the x value?
It is a critical point, it is a possible max, min, or point of inflection.
That the limit does not exist.
- Answer choicesTagsAnswer choicesTags