Questions: Given the graph of the function f(x) shown below, find the average rate of change of the function f(x) on the interval [5, 15].

Given the graph of the function f(x) shown below, find the average rate of change of the function f(x) on the interval [5, 15].
Transcript text: Given the graph of the function $f(x)$ shown below, find the average rate of change of the function $f(x)$ on the interval [5, 15].
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Solution

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Solution Steps

Step 1: Find the value of f(5)

From the graph, f(5) is approximately equal to 20.

Step 2: Find the value of f(15)

From the graph, f(15) is approximately equal to 20.

Step 3: Calculate the average rate of change

The average rate of change of f(x) over the interval [5, 15] is given by the formula:

(f(15) - f(5)) / (15 - 5)

Plugging in the values we found in the previous steps:

(20 - 20) / (15 - 5) = 0 / 10 = 0

Final Answer:

The average rate of change of the function f(x) on the interval [5, 15] is 0.

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