Answer:35/8
Okay, let's think through this step-by-step:
The function f(x) is graphed on the interval 2 ≤ x ≤ 6.
To find the average rate of change on this interval, we calculate:
Average Rate of Change = (f(6) - f(2)) / (6 - 2)
From the graph, f(6) appears to be approximately 4.5
And f(2) appears to be approximately 1.5
Plugging these into the formula:
Average Rate of Change = (4.5 - 1.5) / (6 - 2)
= 3 / 4
= 0.75
Therefore, the average rate of change of the function f(x) on the interval 2 ≤ x ≤ 6 is 0.75.
Have a great day!
Explanation: