Originally Posted by silencecloak
Could you all please help me get started on finding the domain and range of these 2 functions
Mr F says: Let the domain be . The function is decreasing over the first interval and increasing over the second ......
Mr F gives a hint: ......
Update: i can find the domains, but the ranges are giving me trouble
You said you could get the domains. If that's the case, then you should know the value of a and b in . From how you got the domain it should be clear that the value of g starts at zero. If you stop and think about the behaviour of g (and keep in mind my earlier remarks about g decreasing and decreasing) I hope it's clear that the range must be [0, oo). Try drawing a graph of g to see this.
For the second, the graph of g(x) is a semi-circle. It's the upper half of the circle . Draw the semi-circle, get the range by inspection.