For all of the problems below, the function y = h(x) is given by the graph: 2 A -2 0 -2 2 1. What is the average value of h(x) on the interval [-4,4]? Why? 2. Let H be an antiderivative of h such that H(0) = 0. (a) On what intervals is H increasing/decreasing? Why? (b) On what intervals is H concave up/concave down? Why? (c) Determine the exact values H(-4), H(−2), H(0), H(2), H(4). (d) Based on your responses to the preceding questions, sketch a complete and accurate graph of y =H(x). For your graph, you may use the axes below or draw your own. Either way, clearly label each axis with the appropriate scale.
For all of the problems below, the function y = h(x) is given by the graph: 2 A -2 0 -2 2 1. What is the average value of h(x) on the interval [-4,4]? Why? 2. Let H be an antiderivative of h such that H(0) = 0. (a) On what intervals is H increasing/decreasing? Why? (b) On what intervals is H concave up/concave down? Why? (c) Determine the exact values H(-4), H(−2), H(0), H(2), H(4). (d) Based on your responses to the preceding questions, sketch a complete and accurate graph of y =H(x). For your graph, you may use the axes below or draw your own. Either way, clearly label each axis with the appropriate scale.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 9CR
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