Question

Identify the domain and range of the function y = square root y=√x - 2.

Answer 1

domain represents all the possible x values that can be plugged in. do you see what values of cannot be plugged in?

Answer 2

Domain: x≤0
Range: y=≤2

Answer 3

domain cannot be less than 0 because you can't take the square root of a negative number

Answer 4

so domain is \[x \ge0\]

Answer 5

when x is at its least value --0--then y=-2. for any other value of x, y will be greetaer than -2.
So range is \[y \ge-2\]

Answer 6

ok?

Answer 7

Got it. Thanks.