Use a graphing utility to graph each function and its tangent lines at and Based on the

Chapter 2, Problem 63

(choose chapter or problem)

Graphical Reasoning Use a graphing utility to graph each function and its tangent lines at x = -1, x = 0, and x = 1. Based on the results, determine whether the slopes of tangent lines to the graph of a function at different values of x are always distinct.

(a) \(f(x)=x^{2}\)          (b) \(g(x)=x^{3}\)

Text Transcription:

f(x) = x^2

g(x) = x^3

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