5. Let f RR be a uniformly continuous function. Show that there are constants : A, B such that |f(x)| ≤ A + B|x| for all x E R.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
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5. Let ƒ : R → R be a uniformly continuous function. Show that there are constants
A, B such that
"
|ƒ(x)| ≤ A + B|x|
for all x E R.
Transcribed Image Text:5. Let ƒ : R → R be a uniformly continuous function. Show that there are constants A, B such that " |ƒ(x)| ≤ A + B|x| for all x E R.
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