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

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Question 151838: f (x) = x2 − 4x +3
a)Find the domain and range of the function.
b)Determine if it is odd, even or neither?Justify Your answer
c)Skecth the graph: f (x) = x2 − 4x +3
a)Find the domain and range of the function.
b)Determine if it is odd, even or neither?Justify Your answer
c)Skecth the graph
Answer by nabla(409) About Me  (Show Source):
You can put this solution on YOUR website!
a)Domain means what values of x can the function take on. Can you see any that it can't? I don't--- must be all real numbers.
Range means what values of y can the function take on. For this we shall determine the vertex by x=-b/(2a). x=2 gives the minimum of this function. So all y values are greater than or equal to f(2)=4-8+3=-1.
b)A function is even if f(x)=f(-x).
Check it out.
f(x)=x^2-4x+3
f(-x)=x^2+4x+3
thus f(x) does not= f(-x) so it is not even.
A function is odd if f(-x)=-f(x)
So,
-f(x)=-x^2+4x-3
and f(-x) does not equal -f(x), so the function is neither odd nor even.
c) See below:
graph( 300, 200, -1, 5, -3,10, x^2-4x+3)