Open the Secant Line Min Point applet. In the applet, a

Chapter 2, Problem 98

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Open the Secant Line Min Point applet. In the applet, a localminimum is -7.33 at x = 3(labeled as point A).(a) Grab point B and move it just below the x-axis. Verifythe slope of the secant line reported in the applet.(b) Move point B closer to point A, so that the x-coordinate of point B remains greater than the x-coordinate of point A. What happens to the value of the slope of the secant line? Specifically, what is the sign of the slope of the secant line? (c) Move point B so that the x-coordinate of point B is less than the x-coordinate of point A. What happens to the value of the slope of the secant line? Specifically, what is the sign of the slope of the secant line? (d) As point B moves from the left of point A to the right of point A, note the slope of the secant line. Conjecture the value of the slope of the line tangent to the function at point A.Open the Secant Line Min Point applet. In the applet, a localminimum is -7.33 at x = 3 (labeled as point A).(a) Grab point B and move it just below the x-axis. Verifythe slope of the secant line reported in the applet.