Show all calculations![br][br]1. Describe the blue line. What makes it a secant line?[br][br][br]2. What is the average rate of change from A to B on the interval from [1, 4]?[br][br][br]3. What is the average rate of change from A to B when B is moved to x = 3? [br][br][br]4. What is the average rate of change from A to B when B is moved to x = 2?[br][br][br]5. What is the average rate of change from A to B when B is moved to x = 1.5?[br][br][br]6. What is the average rate of change from A to B when B is moved to x =1.1?[br][br][br]7. What is the average rate of change from A to B when B is moved to x = 1.01?[br][br][br]8. As point B moves toward point A, describe 3 things that happen.[br][br][br][br][br]9. Describe the green line. What makes it a tangent line?[br][br][br][br]10. Approximate the instantaneous rate of change at x = 1 when the interval between A and B is zero by calculating the slope of the green tangent line.[br][br][br][br]11. How does your answer to number 10 compare to your values for your average rates of change as B moved closer to A?[br][br]