Use the image to answer the question.

Question

A curve with 3 points is plotted on a coordinate plane. The x-axis ranges from negative 1 to 3 and the y-axis ranges from negative 1 to 5, both by 1-unit increments.

Use the average rate of change to describe the graph of f(x)
over the interval [1,4]
.

(1 point)
Responses

The average rate of change is −13
.
The average rate of change is negative Start Fraction 1 over 2 End Fraction .

The average rate of change is 1
.
The average rate of change is 1.

The average rate of change is 13
.
The average rate of change is Start Fraction 1 over 2 End Fraction .

The average rate of change is 3.
The average rate of change is 3.
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Answer 1

To find the average rate of change of the function \( f(x) \) over the interval \([1, 4]\), you use the formula:

\[ \text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a} \]

where \( a = 1 \) and \( b = 4 \).

You'll need the values of \( f(1) \) and \( f(4) \) from the graph.

1. Identify \( f(1) \) and \( f(4) \) from the graph.
2. Substitute these values into the formula.

Since I don't have access to the specific image or graph you referred to, I'm unable to provide the exact average rate of change.

However, assuming you have calculated \( f(1) \) and \( f(4) \), follow the steps to find the average rate of change. Once you plug those values into the formula, you should be able to choose one of the options provided based on your calculations. If you need assistance interpreting the values, feel free to provide them, and I'll help you further!