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1. The graph of the second derivative of a
function f defined on R is shown below. Which one of the following
statements about f is NOT true?  |
|
| a) | The graph of f has a point of inflection at x=0. |
| b) | f is not twice differentiable at x=0. |
| c) | The graph of f is concave downward on (0,3). |
| d) |  |
| 2. Let f(x) = 5x2/3 - x5/3. Which one of the following values of x give a point of inflection on the graph of f ? | |
| a) | x=-1 |
| b) | x=0 |
| c) | x=2 |
| d) | x=5 |
| 3. Let f(x) = 2x|x| + |x| - x . Which of the following statements about f is NOT true ? | |
| a) | The graph of f has a point of inflection at x=0. |
| b) | f has a relative minimum at x = -½. |
| c) | f is increasing for x > 0. |
| d) | The graph of f is concave downward on (-1,0). |
| 4. Let f(x) = 3x4 - 4x3. Which one of the followings is the absolute minimum value of f on the interval [-1,2] ? | |
| a) | -1 |
| b) | 0 |
| c) | 1 |
| d) | 2 |