A face of a broken clock lies in the xy-plane with the centerof the clock at the origin
Chapter 0, Problem 6(choose chapter or problem)
A face of a broken clock lies in the \(xy\)-plane with the center of the clock at the origin and \(3:00\)in the direction of the positive \(x\)-axis. When the clock broke, the tip of the hour hand stopped on the graph of \(y=f(x)\), where \(f\) is a function that satisfies \(f(0)=0\).
(a) Are there any times of the day that cannot appear in such a configuration? Explain.
(b) How does your answer to part (a) change if \(f\) must be an invertible function?
(c) How do your answers to parts (a) and (b) change if it was the tip of the minute hand that stopped on the graph of \(f\)?
Equation Transcription:
Text Transcription:
xy
x
3:00
y=f(x)
f
f(0)=0
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