Question

State the range of the function f(x) = (squareroot)x

Answer 1

what do you think will be the range?

Answer 2

actually....the range depends on what the domain is...

Answer 3

so you have to get the domain first..to make your life easier

Answer 4

and the domain of x is determined by the radical sign in this case.. we know that anything under that radical has to be 0 or greater.

Answer 5

so my answer is what my domain will be?

Answer 6

which is.... [0,∞)?

Answer 7

that is the domain yes. to be honest.. i do not know how you would determine range from the domain... unless it was the domain of the inverse. But in this case we do know that the range will never be less than 0

Answer 8

because we have restricted your function to values of 0 or greater.... no matter what value you put in for x... as long is it is 0 or greater.. you will never have a y value less than 0. hope this makes sense.

Answer 9

the easiest way to see range is on a graphing calc or something.