To find the average rate of change of the function f(x) as represented on the graph over the interval [0, 3], use the formula. First, determine the values of f(3) and f(0). Then, calculate the average rate of change of f(x) over the interval [0, 3].

To find the average rate of change of the function f(x) over the interval [0, 3], we need to follow these steps:

Step 1: Determine the values of f(3) and f(0) from the graph. Since I don't have the actual graph, let's assume that: - f(3) is the value of the function f(x) when x = 3. - f(0) is the value of the function f(x) when x = 0.

Step 2: Use the formula for average rate of change, which is given by:

\[ \text{Average rate of change} = \frac{{f(\text{final x-value}) - f(\text{initial x-value})}}{{\text{final x-value} - \text{initial x-value}}} \]

In this case, the final x-value is 3 and the initial x-value is 0. Plugging in the values we get:

\[ \text{Average rate of change} = \frac{{f(3) - f(0)}}{{3 - 0}} \]

Step 3: Substitute the actual values of f(3) and f(0). If, for example, f(3) = 6 and f(0) = 2, the calculation would be:

\[ \text{Average rate of change} = \frac{{6 - 2}}{{3 - 0}} = \frac{4}{3} \]

Therefore, the average rate of change of f(x) over the interval [0, 3] is 4/3 or approximately 1.33.

 To find the average rate of change of the function f(x) over the interval [0, 3], you can use the formula:

Average rate of change = (f(3) - f(0)) / (3 - 0)

Following are the detailed logical steps to calculate this:

Step 1: Determine the values of f(3) and f(0) from the graph. Look at the point on the graph where x equals 3, and find the corresponding y value, which is f(3). Then, look at the graph where x equals 0 and find the corresponding y value, which is f(0).

Step 2: Substitute the values of f(3) and f(0) into the formula. It's important to use the exact values as represented on the graph.

Step 3: Subtract f(0) from f(3).

Step 4: Since the interval is from x = 0 to x = 3, subtract 0 from 3 to get the interval length, which is 3.

Step 5: Divide the difference found in step 3 by the interval length found in step 4.

Step 6: The resulting quotient is the average rate of change of the function f(x) over the interval [0, 3].

Remember, this is an average of how much the function changes per unit interval in the domain over the specified interval.