Mathematics

Mathematics

Problem

49. Exploring Grapher Failure Let

y=\left(x^{200}\right)^{1 / 200}

. (a) Explain algebraically why

y=x

for all

x \geq 0

. (b) Graph the equation

y=\left(x^{200}\right)^{1 / 200}

in the window [0,1] by

[0,1]

. (c) Is the graph different from the graph of

y=x

? (d) Can you explain why the grapher failed?

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