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Let f(t) be the temperature at time t where you live and suppose that at time t = 2 you feel uncomfortably hot. What happens to the temperature in each case? (a) f'(2) 1, f"(2) = -3 O The temperature is increasing, and the rate of increase is increasing. ○ The temperature is increasing, but the rate of increase is decreasing. ○ The temperature is decreasing, but the rate of change is increasing (becoming less negative). ○ The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (b) f'(2)-1, f"(2) = 3 O The temperature is increasing, and the rate of increase is increasing. ○ The temperature is increasing, but the rate of increase is decreasing. The temperature is decreasing, but the rate of change is increasing (becoming less negative). ○ The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (c) f'(2)-1, f"(2) = −3 ○ The temperature is increasing, and the rate of increase is increasing. ○ The temperature is increasing, but the rate of increase is decreasing. The temperature is decreasing, but the rate of change is increasing (becoming less negative). ○ The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (d) f'(2) 1, f"(2) = 3 ○ The temperature is increasing, and the rate of increase is increasing. ○ The temperature is increasing, but the rate of increase is decreasing. ○ The temperature is decreasing, but the rate of change is increasing (becoming less negative). ○ The temperature is decreasing, and the rate of change is decreasing (becoming more negative).

Let f(t) be the temperature at time t where you live and suppose that at time t = 2 you feel uncomfortably hot. What happens to the temperature in each case? (a) f'(2) 1, f"(2) = -3 O The temperature is increasing, and the rate of increase is increasing. ○ The temperature is increasing, but the rate of increase is decreasing. ○ The temperature is decreasing, but the rate of change is increasing (becoming less negative). ○ The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (b) f'(2)-1, f"(2) = 3 O The temperature is increasing, and the rate of increase is increasing. ○ The temperature is increasing, but the rate of increase is decreasing. The temperature is decreasing, but the rate of change is increasing (becoming less negative). ○ The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (c) f'(2)-1, f"(2) = −3 ○ The temperature is increasing, and the rate of increase is increasing. ○ The temperature is increasing, but the rate of increase is decreasing. The temperature is decreasing, but the rate of change is increasing (becoming less negative). ○ The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (d) f'(2) 1, f"(2) = 3 ○ The temperature is increasing, and the rate of increase is increasing. ○ The temperature is increasing, but the rate of increase is decreasing. ○ The temperature is decreasing, but the rate of change is increasing (becoming less negative). ○ The temperature is decreasing, and the rate of change is decreasing (becoming more negative).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Let f(t) be the temperature at time t where you live and suppose that at time t 2 you feel uncomfortably hot. What happens to the temperature in each case? (a) f'(2) = 1, f"(2) = −3 The temperature is increasing, and the rate of increase is increasing. The temperature is increasing, but the rate of increase is decreasing. The temperature is decreasing, but the rate of change is increasing (becoming less negative). The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (b) f'(2) = 1, f"(2) = 3 ○ The temperature is increasing, and the rate of increase is increasing. The temperature is increasing, but the rate of increase is decreasing. The temperature is decreasing, but the rate of change is increasing (becoming less negative). The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (c) f'(2) = 1, f"(2) = −3 The temperature is increasing, and the rate of increase is increasing. The temperature is increasing, but the rate of increase is decreasing. The temperature is decreasing, but the rate of change is increasing (becoming less negative). The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (d) f'(2) = 1, f"(2) = 3 ○ The temperature is increasing, and the rate of increase is increasing. The temperature is increasing, but the rate of increase is decreasing. The temperature is decreasing, but the rate of change is increasing (becoming less negative). The temperature is decreasing, and the rate of change is decreasing (becoming more negative).
Transcribed Image Text:Let f(t) be the temperature at time t where you live and suppose that at time t 2 you feel uncomfortably hot. What happens to the temperature in each case? (a) f'(2) = 1, f"(2) = −3 The temperature is increasing, and the rate of increase is increasing. The temperature is increasing, but the rate of increase is decreasing. The temperature is decreasing, but the rate of change is increasing (becoming less negative). The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (b) f'(2) = 1, f"(2) = 3 ○ The temperature is increasing, and the rate of increase is increasing. The temperature is increasing, but the rate of increase is decreasing. The temperature is decreasing, but the rate of change is increasing (becoming less negative). The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (c) f'(2) = 1, f"(2) = −3 The temperature is increasing, and the rate of increase is increasing. The temperature is increasing, but the rate of increase is decreasing. The temperature is decreasing, but the rate of change is increasing (becoming less negative). The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (d) f'(2) = 1, f"(2) = 3 ○ The temperature is increasing, and the rate of increase is increasing. The temperature is increasing, but the rate of increase is decreasing. The temperature is decreasing, but the rate of change is increasing (becoming less negative). The temperature is decreasing, and the rate of change is decreasing (becoming more negative).
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