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Let f(t) be the temperature at time t where you live and suppose that at time t = 1 you feel uncomfortably hot. What happens to the temperature in each case? (a) The temperature is increasing, and the rate of increase is increasing. f '(1) = 2, f "(1) = 6 O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (b) f '(1) = -2, f "(1) = -6 O The temperature is increasing, and the rate of increase is increasing. O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (c) O The temperature is increasing, and the rate of increase is increasing. f '(1) = -2, f "(1) = 6 O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (d) f'(1) = 2, f "(1) = -6 O The temperature is increasing, and the rate of increase is increasing. O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O 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 = 1 you feel uncomfortably hot. What happens to the temperature in each case? (a) The temperature is increasing, and the rate of increase is increasing. f '(1) = 2, f "(1) = 6 O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (b) f '(1) = -2, f "(1) = -6 O The temperature is increasing, and the rate of increase is increasing. O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (c) O The temperature is increasing, and the rate of increase is increasing. f '(1) = -2, f "(1) = 6 O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (d) f'(1) = 2, f "(1) = -6 O The temperature is increasing, and the rate of increase is increasing. O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O 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
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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Ch 4.3 #10 Can you show me how to do this
Let f(t) be the temperature at time t where you live and suppose that at time t = 1 you feel uncomfortably hot. What happens to the temperature in each case? (a) f '(1) = 2, f "(1) = 6 O The temperature is increasing, and the rate of increase is increasing. O 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). O The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (b) f'(1) = -2, f "(1) = -6 O The temperature is increasing, and the rate of increase is increasing. O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O The temperature is decreasing, and the rate of change is decreasing (becoming mor negative). (c) f '(1) = -2, f "(1) = 6 O The temperature is increasing, and the rate of increase is increasing. O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (d) f '(1) = 2, f "(1) = -6 O The temperature is increasing, and the rate of increase is increasing. O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O 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 = 1 you feel uncomfortably hot. What happens to the temperature in each case? (a) f '(1) = 2, f "(1) = 6 O The temperature is increasing, and the rate of increase is increasing. O 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). O The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (b) f'(1) = -2, f "(1) = -6 O The temperature is increasing, and the rate of increase is increasing. O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O The temperature is decreasing, and the rate of change is decreasing (becoming mor negative). (c) f '(1) = -2, f "(1) = 6 O The temperature is increasing, and the rate of increase is increasing. O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (d) f '(1) = 2, f "(1) = -6 O The temperature is increasing, and the rate of increase is increasing. O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O The temperature is decreasing, and the rate of change is decreasing (becoming more negative).
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