A student observes that the function f(x) = 1/x + 2, x 0, has a change
Question:
A student observes that the function f(x) = 1/x + 2, x ≠ 0, has a change of sign on the interval [−1, 1]. The student writes:
By means of a sketch, or otherwise, explain why the student is incorrect.
Transcribed Image Text:
y = f(x) has a vertical asymptote within this interval so even though there is a change of sign, f(x) has no roots in this interval.
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Related Book For
Pearson Edexcel A Level Mathematics Pure Mathematics Year 2
ISBN: 9781292183404
1st Edition
Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran
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