The function f(t) = 3(1.4)' determines the height of a sunflower (in inches) in terms of the number of weeks t since it was planted. a. Determine the average rate of change of the sunflower's height (in inches) with respect to the number of weeks since it was planted over the following time intervals. i. From t = 0 to t = 2 weeks. Preview ii. From t = 2 to t = 4 weeks. Preview iii. From t = 4 to t = 6 weeks. Preview b. Based on your answers to part (a), which of the following are true? Select all that apply. |The height of the sunflower is increasing at a decreasing rate on the interval 0 < t < 6. OThe graph of f is concave up on the interval 0 < t < 6. OThe graph of f is concave down on the interval 0 < t < 6. OThe height of the sunflower is increasing at an increasing rate on the interval 0 < t < 6.

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The function f(t) = 3(1.4)' determines the height of a sunflower (in inches) in terms of the number of weeks t since it was planted.
a. Determine the average rate of change of the sunflower's height (in inches) with respect to the number of weeks since it was planted over
the following time intervals.
i. From t = 0 to t = 2 weeks.
Preview
ii. From t = 2 to t = 4 weeks.
Preview
iii. From t = 4 to t = 6 weeks.
Preview
b. Based on your answers to part (a), which of the following are true? Select all that apply.
| The height of the sunflower is increasing at a decreasing rate on the interval0 < t < 6.
|The graph of f is concave up on the interval 0 < t < 6.
| The graph of f is concave down on the interval 0 <t < 6.
O The height of the sunflower is increasing at an increasing rate on the interval 0 <t < 6.
Transcribed Image Text:The function f(t) = 3(1.4)' determines the height of a sunflower (in inches) in terms of the number of weeks t since it was planted. a. Determine the average rate of change of the sunflower's height (in inches) with respect to the number of weeks since it was planted over the following time intervals. i. From t = 0 to t = 2 weeks. Preview ii. From t = 2 to t = 4 weeks. Preview iii. From t = 4 to t = 6 weeks. Preview b. Based on your answers to part (a), which of the following are true? Select all that apply. | The height of the sunflower is increasing at a decreasing rate on the interval0 < t < 6. |The graph of f is concave up on the interval 0 < t < 6. | The graph of f is concave down on the interval 0 <t < 6. O The height of the sunflower is increasing at an increasing rate on the interval 0 <t < 6.
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