(a) Use a graphing utility to graph the functions and in
Chapter 1, Problem 48(choose chapter or problem)
(a) Use a graphing utility to graph the functions \(f, g\), and \(h\) in the same viewing window. Write a description of any similarities and differences you observe among the graphs.
Odd powers: \(f(x)=x, g(x)=x^{3}, h(x)=x^{5}\)
Even powers: \(f(x)=x^{2}, g(x)=x^{4}, h(x)=x^{6}\)
(b) Use the result in part (a) to make a conjecture about the graphs of the functions \(y=x^{7}\) and \(y=x^{8}\). Use a graphing utility to verify your conjecture.
Text Transcription:
f, g
h
f(x) = x, g(x) = x^{3}, h(x) = x^{5}
f(x) = x^{2}, g(x) = x^{4}, h(x) = x^{6}
y = x^7
y = x^8
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