Hi guys

I didn't know where to put this, but I'm having trouble understanding what type of functions is this when i graph it:

$\displaystyle (25-x^2)^{1/2}$

http://img526.imageshack.us/img526/3081/function.png

P.S

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- Nov 26th 2009, 09:04 PMPaymemoneySketching a graph
Hi guys

I didn't know where to put this, but I'm having trouble understanding what type of functions is this when i graph it:

$\displaystyle (25-x^2)^{1/2}$

http://img526.imageshack.us/img526/3081/function.png

P.S - Nov 27th 2009, 03:12 AMHallsofIvy
Your graph is simply wrong. If $\displaystyle y= (25-x^2)^{1/2}$ then $\displaystyle y^2= 25 -x^2$ or $\displaystyle x^2+ y^2= 25$. That last is a circle with center at (0,0) and radius 5. The original, the positive square root, is the upper semi-circle.

The graph you give appears to be from $\displaystyle y= (x^2- 25)^{1/2}$. That would give $\displaystyle y^2= x^2- 25$ so $\displaystyle y^2- x^2= 25$, a hyperbola. If that is correct, then your graph is the upper half of that hyperbola.