Which is the best estimate for the average rate of change for the quadratic function graph on the interval 4 ≤ x ≤ 8?

Responses
A 11
B 22
C 33
D 4

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To find the average rate of change of a quadratic function over an interval, we can use the formula:

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

where \(f(a)\) is the value of the function at the starting point \(a\) and \(f(b)\) is the value at the endpoint \(b\).

In this case, \(a = 4\) and \(b = 8\). However, we need the specific quadratic function to calculate \(f(4)\) and \(f(8)\). Since the function is not provided in your question, I can't calculate the exact values. However, if you assume that you have \(f(4)\) and \(f(8)\), you would plug those values into the formula.

If you can provide the specific function, I can help you compute the average rate of change. If not, we need those values to give you a definite answer.

If we need to generally discuss the options, we would compare values from the range specified through the function. But without specific values, it's not possible to determine which response (11, 22, 33, or 4) is correct.