Let (t) be the temperature at time t where you live andsuppose that at time t =

Let ƒ(t) be the temperature at time t where you live andsuppose that at time t = 5, you feel uncomfortably hot. Whathappens to the temperature in each case?

a) ƒ'(5) = 1, ƒ''(5) = -1.

1. The temperature is increasing, and the rate of increase isincreasing.

2. The temperature is increasing, but the rate of increase isdecreasing.

3. The temperature is decreasing, and the rate of decrease isincreasing.

4. The temperature is decreasing, and the rate of decrease isdecreasing.

b) ƒ'(5) = 1, ƒ''(5) = 1.

1. The temperature is increasing, and the rate of increase isincreasing.

2. The temperature is increasing, but the rate of increase isdecreasing.

3. The temperature is decreasing, and the rate of decrease isincreasing.

4. The temperature is decreasing, and the rate of decrease isdecreasing.

c) ƒ'(5) = -1, ƒ''(5) = -1.

1. The temperature is increasing, and the rate of increase isincreasing.

2. The temperature is increasing, but the rate of increase isdecreasing.

3. The temperature is decreasing, and the rate of decrease isincreasing.

4. The temperature is decreasing, and the rate of decrease isdecreasing.

d) ƒ'(5) = -1, ƒ''(5) = 1.

1. The temperature is increasing, and the rate of increase isincreasing.

2. The temperature is increasing, but the rate of increase isdecreasing.

3. The temperature is decreasing, and the rate of decrease isincreasing.

4. The temperature is decreasing, and the rate of decrease isdecreasing.

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