Question

The function f is continuous on the interval [3,11] with some of its values given in the table below. Find the average rate of change in t over the interval [3,11].

X. | 3 | 5 | 8 | 10 | 11 |
F(x)| -4| 4 | 10 | 16 | 20 |

A. 1/3
B. 2
C. 3
D. None of these

Answer 1

Answer:

C

Step-by-step explanation:

The average rate of change of a function f(x) on the interval [a, b] is:

(f(b) − f(a)) / (b − a)

Here, the interval is [3, 11].  f(3) = -4 and f(11) = 20.

(f(11) − f(3)) / (11 − 3)

(20 − -4) / 8

24 / 8

3

Answer 2

The average rate of change in t over the interval [3,11] is C. 3.

What is the average rate of change of a function?

The average rate of change function exists expressed as the average rate at which one quantity is changing regarding something else changing. In simple terms, an average rate of change function exists as a process that estimates the amount of change in one item divided by the corresponding amount of change in another.

The average rate of change of a function f(x) on the interval [a, b] is:

(f(b) − f(a)) / (b − a)

Here, the interval is [3, 11].  f(3) = -4 and f(11) = 20.

(f(11) − f(3)) / (11 − 3)

(20 − -4) / 8

24 / 8

3.

The average rate of change in t over the interval [3,11] is C. 3.

Hence, The correct answer is option C. 3.

To learn more about the average rate of change of a function

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