Calculate the average rate of change of the given function over the interval .

Question

Calculate the average rate of change of the given function over the interval  .

Quizplus · Accepted Answer

To find the average rate of change, we need to find the change in the function's values over the given interval divided by the change in the input values.

Plugging in the numbers, we get:

Average rate of change = (f(11ebfe6a_2cbd_8b53_96cc_2f5934b540a2_TBX8650_11) - f(11ebfe6a_2cbd_8b4e_96cc_e5febd47f94e_TBX8650_11))/(11ebfe6a_2cbd_8b53_96cc_2f5934b540a2_TBX8650_11 - 11ebfe6a_2cbd_8b4e_96cc_e5febd47f94e_TBX8650_11)

Simplifying the numerator, we get:

f(11ebfe6a_2cbd_8b53_96cc_2f5934b540a2_TBX8650_11) - f(11ebfe6a_2cbd_8b4e_96cc_e5febd47f94e_TBX8650_11) = 8 - (-2) = 10

Simplifying the denominator, we get:

11ebfe6a_2cbd_8b53_96cc_2f5934b540a2_TBX8650_11 - 11ebfe6a_2cbd_8b4e_96cc_e5febd47f94e_TBX8650_11 = 5 - (-7) = 12

Therefore, the average rate of change is:

Average rate of change = 10/12 = 5/6

Therefore, the answer is D, 11ebfe6a_2cbd_8b53_96cc_2f5934b540a2_TBX8650_11

Calculate the Average Rate of Change of the Given Function