Question

what is the domain of y=x*sq rt of (2-x^2) and why?

Answer 1

First of all, whatever is inside the square root has to be greater of equal to 0, right?

Answer 2

So, 2-x^2>=0

x^2<=2
-sqrt(2)<=x<=sqrt(2)

Answer 3

i do not understand how you got that last line

Answer 4

i got x<= positive and negative sqrt of 2

Answer 5

Do you know how to graph y=x^2?

Answer 6

and y=2?

Answer 7

yes

Answer 8

Can you draw both of the graphs on the same coordinate plane for me?

Answer 9

oops