Suppose that f is continuous on the interval [0, 1], thatf(0) = 2, and that f has no

Chapter 1, Problem 36

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Suppose that \(f\) is continuous on the interval \([0, 1]\), that \(f(0) = 2\), and that \(f\) has no zeros in the interval. Prove that \(f(x) > 0\) for all \(x\) in \([0, 1]\).

Equation Transcription:

f

[0, 1]

f(0) = 2

f(x) > 0

x

Text Transcription:

f

[0, 1]

f(0) = 2

f(x) > 0

x

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