SOLUTION: f(x) = x^2 - 5x + 6 What is the range?

Question 281514: f(x) = x^2 - 5x + 6
What is the range?
Answer by Mathematicians(84) (Show Source): You can put this solution on YOUR website!
The easiest way I see to do this problem is to find the vertex. Your question is:

Since the term near the X^2 is positive, the parabola will open up and go towards infinity. Finding the vertex means you can find where the lowest point and then it goes up to infinity.
The vertex formula is, let (h,k) be your vertex, then to find h:
where
In your equation, to find h, we:

However, since we are talking about the range, we need to find k. Which means we need to plug in 5/2 into our equation:

As mentioned above, is the lowest point on the graph, and then it opens upward which means you range is:
-1/4 to infinite with brackets on the outside (I wish I can show you but I am getting errors when trying to post brackets
RELATED QUESTIONS
what is the range of y= -x^2-5x+6 (answered by josmiceli)

What is the range for P(x) = x^2 + 5x + 6 <... (answered by edjones)

What is the domain and range of the following rational expression? f(x)=x+3 _____ (answered by Edwin McCravy)

find the domain and range of the function f(x)=... (answered by lwsshak3)

What is the range of... (answered by Theo)

what is the range of f(x)= |x-3|... (answered by lynnlo)

what is the range of... (answered by Nfrey78)

what is the range of... (answered by reviewermath)

What is the RANGE of f(x) = -2/3x + 1 Domain. {-6, -3,... (answered by rfer)