How do I determine whether a function is bounded? Precalculus Real Zeros of Polynomials Upper and Lower Bounds 1 Answer Reginaldo D. Oct 27, 2014 A function #f# is bounded in a subset #U# of its domain if there exist constants #M, m in RR# such that #m<=f(x)<=M,# for all #x in U.# For example, #f(x)=sin(x)# is bounded in #RR# because #-1<=sin(x)<=1,# for all #x in RR#. 2. #f(x)=x^2# is bounded in #[0,1]# because #0<=x^2<=1,# for all #x in [0,1].# Answer link Related questions What is a bound of a function? How do I find the upper bound of a function? How do I find the lower bound of a function? How do I calculate the upper bound of a rectangle? How do I find the upper bound of a polynomial? How can functions be used to solve real-world situations? How do I find the greatest lower bound of a set? How do I find the least upper bound of a set? See all questions in Upper and Lower Bounds Impact of this question 22425 views around the world You can reuse this answer Creative Commons License