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}.