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- 1. Multiple Choice
If f '(x) changes from positive to negative, f(x) has __________ at x.
a maximum
a minimum
no extrema
- 2. Multiple Choice
If f '(x) changes from negative to positive, then f(x) has __________ at x.
a maximum
a minimum
no extrema
- 3. Multiple Choice
If x is a left endpoint and f '(x) is negative on the interval to the right of x, then f(x) has __________ at x.
a maximum
a minimum
no extrema
- 4. Multiple Choice
If x is a right endpoint and f '(x) is positive on the interval to the left of x, then f(x) has __________ at x.
a maximum
a minimum
no extrema
- 5. Multiple Choice
If x is a left endpoint and f '(x) is positive on the interval to the right of x, then f(x) has __________ at x.
a maximum
a minimum
no extrema
- 6. Multiple Choice
If x is a right endpoint and f '(x) is negative on the interval to the left of x, then f(x) has __________ at x.
a maximum
a minimum
no extrema
- 7. Multiple Choice
Given the sign chart for f '(x), f(x) has ...
a local maximum at x = -2.
a local maximum at x = 4.
local maxima at x = -2 and x = 4.
no extrema.
- 8. Multiple Choice
Given the sign chart for f '(x), f(x) has ...
a local maximum at x = -2.
a local minimum at x = -2 and
a local maximum at x = 4.
a local maximum at x = -2 and
a local minimum at x = 4.
no extrema.
- 9. Multiple Choice
Given the sign chart for f '(x), f(x) has ...
a local maximum at
x = -2.
a local maximum at
x = 4.
a local maximum at x = -2 and
a local maximum at x = 4.
no extrema.
- 10. Multiple Choice
Given the graph of f '(x), f(x) has ...
a local min at x = -6
a local min at x = 2
a local min at x = 2 and
a local max at x = -6
local mins at x = -2, 5 and
a local max at x = 3
- 11. Multiple Choice
Given the graph of f '(x), f(x) has...(mark all that apply)
a local max at x = -9
a local min at x = -9
a local max at x = -6
a local min at x = 0
a local max at x = 7
- 12. Multiple Choice
Given the sign chart for f '(x) and table of f(x), f(x) has ...
a local maximum at (-10,5).
an absolute minimum at (-2,0).
a local minimum at (20,7).
all of the above
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