Thread: Y equals more than one problem

ok here is the problem:

Y = -2x +1; x less than or equal to 0
Y also equals: sqrt(x+4) -2; x>0

i look at the graph i made, and i don't know the domain and range...

is the range, y is greater than or equal to zero?
is there a domain?

Originally Posted by zooanimal98

ok here is the problem:

Y = -2x +1; x less than or equal to 0
Y also equals: sqrt(x+4) -2; x>0

i look at the graph i made, and i don't know the domain and range...

is the range, y is greater than or equal to zero?
is there a domain?

Well, there are no values of x such that the function does not exist. Thus the domain is all real numbers.

For the range, notice that there is no upper bound on the function. (As x increases in the negative direction, y increases without bound.) A similar condition is on the +x side. Is there a value of x such that the function has a minimum?

-Dan