SOLUTION: Given is the function f(x)=-1/2 x^2-4x+4. If we restrict its domain to [-6,2], what is the corresponding range?

Algebra ->  Functions -> SOLUTION: Given is the function f(x)=-1/2 x^2-4x+4. If we restrict its domain to [-6,2], what is the corresponding range?       Log On


   

Question 1051192: Given is the function
f(x)=-1/2 x^2-4x+4. If we restrict its domain to [-6,2], what is the corresponding range?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Graphing it,
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.
.
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We see the max occurs in the interval and the min occurs at the right endpoint,
y%5Bmin%5D=-%281%2F2%29%282%29%5E2-4%282%29%2B4
y%5Bmin%5D=-2-8%2B4
y%5Bmin%5D=-6
So the range is [-6,12].