SOLUTION: Hi, Actually I'm in college algebra, but since the following problem has to do with range, this was the closest category I could come up with. Here's the problem: Find the rang

Algebra ->  Functions -> SOLUTION: Hi, Actually I'm in college algebra, but since the following problem has to do with range, this was the closest category I could come up with. Here's the problem: Find the rang      Log On


   

Question 357176: Hi,
Actually I'm in college algebra, but since the following problem has to do with range, this was the closest category I could come up with.
Here's the problem:
Find the range of the function: f(x)=x^2+12x+34
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the range of the function: f(x)=x^2+12x+34
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Since the parabola opens upward from the vertex,
you have to find the y-value of the vertex.
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Vertex occurs at x = -b/2a = -12/(2) = 6
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y-value at x = 6 is 6^2+12*6+34 = 142
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Range: All Real Numbers >= 142
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Cheers,
Stan H.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The minimum of the function is the vertex at (-6,-2)
The range is all real numbers >= -2
PS The other tutor lost a minus sign.