SOLUTION: 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

Algebra ->  Functions -> SOLUTION: 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      Log On


   

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
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=x%5E2-4x%2B3
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a) Domain is all x in (-infinity,infinity).
The function has a minimum value at x=2 where f%282%29=4-6%2B3=-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%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+x%5E2-4x%2B3%29+