SOLUTION: Find the least value of the expression y= -x^2 - 6x +16 if x lies in the interval -11<x<= 6

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find the least value of the expression y= -x^2 - 6x +16 if x lies in the interval -11<x<= 6       Log On


   



Question 1126226: Find the least value of the expression y= -x^2 - 6x +16 if x lies in the interval -11
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Here is a graph of the function
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+graph%28+300%2C+200%2C+-9%2C+3%2C+-10%2C+30%2C+-x%5E2+-+6x+%2B16%29+
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we are given that x lies in interval -1, 1
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we need to know if this is an open interval or a closed one
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I assume it is a closed interval
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looking at the graph, we can see that the function has a minimum at x=1 on the closed interval [-1, 1]
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min on [-1, 1] = -1 -6 +16 = 9
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