SOLUTION: Determine whether there is a maximum or minimum value for the given function, and find that value. f(x) = x2 – 5x + 12

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Determine whether there is a maximum or minimum value for the given function, and find that value. f(x) = x2 – 5x + 12      Log On


   

Question 357822: Determine whether there is a maximum or minimum value for the given
function, and find that value.
f(x) = x2 – 5x + 12
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert to vertex form, y=a%28x-h%29%5E2%2Bk.
x%5E2-5x%2B12=0
x%5E2-5x%2B25%2F4%2B12-25%2F4=0
%28x-5%2F2%29%5E2%2B48%2F4-25%2F4=0
%28x-5%2F2%29%5E2%2B23%2F4=0
Since a%3E0, then the value at the vertex is a minimum.
y%5Bmin%5D=23%2F4
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