Question

What is the domain and range of the equation shown below

Answer 1

\[y=\sqrt{x ^{2}-4}\]

Answer 2

you cant take the square root of a negative number

Answer 3

but you can take the square root of zero

Answer 4

also remember no matter what you sub into x you will get a positive number

Answer 5

because it is squared

Answer 6

So, domain is
(x^2 -4) >=0

Answer 7

Solve that

Answer 8

how?

Answer 9

because the square root of something must be gretaer than or equal to 0

Answer 10

\[x \le-2\] and \[x \ge2\]

Answer 11

Is that right?

Answer 12

Yep thats right

Answer 13

thats the domain

Answer 14

And is the range \[y \ge0\]

Answer 15

Yep

Answer 16

U r very correct

Answer 17

ok thank you. i was just checking.

Answer 18

Welcome