Applications of derivatives

1103263401

Level: 
B
The graph of \( f \) is given in the figure. Choose which of the following statements about the function \( f \) are true. \[ \begin{array}{l} \text{A: The global maximum of } f \text{ on the interval } [-4;4] \text{ is at } x=4. \\ \text{B: The only global minimum of } f \text{ on the interval } [-4;4] \text{ is at } x=2. \\ \text{C: On } (-2;3] \text{ there is the global minimum of } f \text{ at } x=2 \text{ and the global maximum of } f \text{ at } x=-2. \\ \text{D: The function } f \text{ has no global maximum on the interval } [-3;4). \\ \text{E: The function } f \text{ has no global minimum on the interval } [-4;2) \text{ .} \end{array} \] The only true statements are:
A, D
B, C
B, D, E
A, D, E
A, B, E
C, D

1103263402

Level: 
B
The graph of \( f \) is given in the figure. Choose which of the following statements about the function \( f \) are true. \[ \begin{array}{l} \text{A: The global minimum of } f \text{ on the interval } (-3;3) \text{ is at } x=0. \\ \text{B: The global maxima of } f \text{ on the interval } [-3;3] \text{ are at } x=-2 \text{ and } x=2. \\ \text{C: On } (-2;3] \text{ there is the global minimum of } f \text{ at } x=3 \text{ and the global maximum of } f \text{ at } x=2. \\ \text{D: The function } f \text{ has no global minimum on the interval } (-3;3). \\ \text{E: The function } f \text{ has no global maximum on the interval } (-3;3) . \end{array} \] The only true statements are:
B, C, D
C, D, E
A, B, C
A, B
C, D
A, E