Functions Question 422
Question: Find the range of $ f(x)=sgn(x^{2}-2x+3). $
Options:
A) $ {1,-1} $
B) $ {1} $
C) $ {-1} $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ x^{2}-2x+3={{(x-1)}^{2}}+1>0,\forall ,x\in R $ Or $ f(x)=sgn(x^{2}-2x+3)=1. $ hence, the range is {1}.