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Introduction to Limits
1. Limits and Continuity / Introduction to Limits / Problem 1
Problem 1

Consider the quadratic function f(x)=−4x2+32xf\(\left\)(x\(\right\))=-4x^2+32x. Calculate the slopes of the secant lines between the points (x,f(x))\(\left\)(x,f\(\left\)(x\(\right\))\(\right\)) and (4,f(4))\(\left\)(4,f\(\left\)(4\(\right\))\(\right\)), for x=3.5,3.9,3.99,3.999x=3.5,3.9,3.99,3.999.
Graph showing the quadratic function f(x) and secant lines at points (x, f(x)) and (4, f(4)).