Question

Determine the domain and range of y= \[\pm \sqrt{4-x^{2}}\] and y= -(x/4-2x)
I know the domain are continuous everywhere, but I forgot how to determine the range.

Answer 1

Are you sure it is continuous everywhere? The square root sign and a denominator seems to be saying otherwise.

Answer 2

It is continous everywhere EXCEPT at + or - 2

Answer 3

yea, I made a mistake I was thinking of something else. Can youhelp me determine the range?

Answer 4

The range would positive infinity to minus infinity

Answer 5

You can cheat and punch in your calculator and you will see that you have horizontal asymptotes.

Answer 6

I'm sorry vertical.