Given the function f(x) = x² + 3x - 2 What is the average rate of change for the function from 2 to 6? Show your work.

The average rate of change is 11

Explanation:

The given function is

We need to determine the average rate of change for the function from 2 to 6

The average rate of change can be determined using the formula,

where and

Now, we shall determine the values of f(2) and f(6) by substituting the values for x = 2 and x = 6 in the function

Thus, we have,

Similarly, substituting x = 6, we get,

Hence, substituting these values in the formula , we get,

Simplifying, we get,

Thus, the average rate of change for the function from 2 to 6 is 11

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.