Group Activity Rational Powers Working in a group of three
Chapter 2, Problem 2.1.1.169(choose chapter or problem)
Group Activity Rational Powers Working in a group of three students, investigate the behavior of power functions of the form \(f(x)=k \cdot x^{m / n}\), where m and n are positive with no factors in common. Have one group member investigate each of the following cases:
• n is even
• n is odd and m is even
• n is odd and m is odd
For each case, decide whether ƒ is even, ƒ is odd, or ƒ is undefined for \(x<0\). Solve graphically and confirm algebraically in a way to convince the rest of your group and your entire class.
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