SOLUTION: f(x)=x^2-4x+3. what is the domain and range? determine if it is odd,even or neither.

Question 150578: f(x)=x^2-4x+3.
what is the domain and range?
determine if it is odd,even or neither.

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
ax^2+bx+c
x^2-4x+3
(x-3)(x-1)=0
x=3, x=1 when y=0
The graph of the parabola has a minimum because a is positive.
(3+1)/2=2 so y will be at a minimum when x=2
f(x)=y=2^2-(4*2)+3
=4-8+3
=-1
The domain of x is all real numbers.
The range of y is -1 to infinity.
It is neither odd nor even with respect to the axis of the graph.
.
Ed
.

RELATED QUESTIONS
f(x)=x squared 2 - 4x+3 a) find domain and range of th function b)determine if it is... (answered by Fombitz)

f (x) = x2 − 4x +3 a)Find the domain and range of the function. b)Determine if it (answered by nabla)

Determine if the function f(x)=x^3|4x| is even, odd, or... (answered by jim_thompson5910,richard1234)

determine algebraically whether the function is even, odd, or neither even nor odd.... (answered by Fombitz)

To determine if a function is odd even or neither. f(x) = x^3 - x^2. Ok substitute... (answered by jim_thompson5910)

Find if the function is even, odd or neither.... (answered by jim_thompson5910)

Thanks for the answers for the previous questions. Pls, am having difficulty with these (answered by stanbon)

Determine algebraically whether the function is even, odd, or neither. f(x) = 2x^3 (answered by Fombitz)

Determine algebraically if the function f(x)= {{{ x-x^2sinx }}} is odd, even, or... (answered by Theo)