SOLUTION: √(49-x^2).range,increasing, decreasing and zeros of the function.

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Question 760383: √(49-x^2).range,increasing, decreasing and zeros of the function.
Found 2 solutions by stanbon, DrBeeee:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
√(49-x^2).range,increasing, decreasing and zeros of the function.
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graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Csqrt%2849-x%5E2%29%29
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Range: 0<= y <=7
Increasing on (-7,0)
Decreasing on (0,7)
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Zeros: x = -7 and x = 7.
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Cheers,
Stan H.
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Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
Let y = sqrt%2849-x%5E2%29, then after squaring both side we have
(1) y%5E2+=+49+-+x%5E2 or
(2) x%5E2+%2B+y%5E2+=+7%5E2 which is the equation for a circle centered at the origin (0,0) with a radius of 7.
The roots are at x = {-7,7}
The range is y = (-7,7)
Since it is a circle, I don't think the other attributes apply.