A Problem About Uniformly Continuous functions

[herbyoung]

Let I be the interval I=[0,infinity). Let f: I to R be uniformly continuous. Show there exist positive constants A and B such that |f(x)|<=Ax+B for all x that belongs to I.

Please help me!~

 

[mathwonk]

what is the definition of uniformly continuous? state it in terms of delta x and delta y.

 

[herbyoung]

I have known the answer. Thanks.