AP Calculus ABScoring GuideUnit 2 Progress Check: FRQ Part BCopyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online orin print beyond your school’s participation in the program is prohibited.Page 1 of 81.NO CALCULATOR IS ALLOWED FOR THIS QUESTION.Show all of your work, even though the question may not explicitly remind you to do so. Clearlylabel any functions, graphs, tables, or other objects that you use. Justifications require that yougive mathematical reasons, and that you verify the needed conditions under which relevanttheorems, properties, definitions, or tests are applied. Your work will be scored on thecorrectness and completeness of your methods as well as your answers. Answers withoutsupporting work will usually not receive credit.Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If youranswer is given as a decimal approximation, it should be correct to three places after thedecimal point.Unless otherwise specified, the domain of a function is assumed to be the set of all realnumbers for which is a real number.The graphs of the function and its derivative are shown above for .
(a)
Find the average rate of change of over the interval . For how many valuesof in the interval does the instantaneous rate of change of equal the averagerate of change of over that interval?Please respond on separate paper, following directions from your teacher.

AP Calculus ABScoring GuideUnit 2 Progress Check: FRQ Part BPage 2 of 8(b) Write an equation for the line tangent to the graph of at Please respond on separate paper, following directions from your teacher.(c) For each of and , find the value or give a reason why it does notexist.Please respond on separate paper, following directions from your teacher..