Consider the system of equations. { y y = = bx xb (a) Use a graphing utility to graph

Chapter 8, Problem 97

(choose chapter or problem)

Exploration   Consider the system of equations.

\(\left\{\begin{array}{l} y=b^{x} \\ y=x^{b} \end{array}\right.\)

(a) Use a graphing utility to graph the system of equations for b = 2 and b = 4.

(b) For a fixed value of b > 1, make a conjecture about the number of points of intersection of the graphs in part (a).

Text Transcription:

{y=b^x _y=x^b

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