Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

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Question 151002: f(x)=x squared 2 - 4x+3
a) find domain and range of th function
b)determine if it is odd,even or neither. justify your answer.
c) sketch graph
: f(x)=x squared 2 - 4x+3
a) find domain and range of th function
b)determine if it is odd,even or neither. justify your answer.
c) sketch graph

Answer by Fombitz(1740) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=x^2-4x+3
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a) Domain is all x in (-infinity,infinity).
The function has a minimum value at x=2 where f(2)=4-6+3=-1.
So the range is (-1,infinity).
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b) The function is not even or odd because it is not symmetric about the y axis.
The relations f(x)=f(-x) for even function and f(x)=-f(-x) for an odd function don't make sense here.
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c) Here is the graph.
 graph( 300, 300, -5, 5, -5, 5, x^2-4x+3)