Question 822281: How to find Domain and Range of this function without using a graph:
4-2√x Found 2 solutions by LinnW, Edwin McCravy:Answer by LinnW(1048) (Show Source):
You can put this solution on YOUR website! The domain is restricted to x greater than or equal to 0
since a negative value of x produces a negative square root.
The largest y value, or top of the range is .
All values of y less than this are in the the range.
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y = 4-2√x
x must be non-negative, so the least value x can
take on is 0; thus its domain is [0,oo)
The largest possible value of y is when the least
amount is subtracted from 4, which is when x=0, and
y=4,
so the range is (-oo,4]
Edwin
