Question 525616: Would you be so kind as to help me with this?
I have to graph each function and state it's domain and range.
y = sqrt(x+1)+4
Thank you so much
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! I have to graph each function and state it's domain and range.
y = sqrt(x+1)+4
**
y=√(x+1)+4
Domain:
Since there are no denominators, the only restriction is in the radical.
In all sqrts, the radican must be≥0
x+1≥0
x≥-1
Domain:[-1,∞)
Range:[4,∞) (basic √x curve bumped up 4 units)
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Graphing:
Start with the basic √x with points at (0,0), (1,1) (9,3) and (16,4)
Move x coordinates one unit to the left (-1,0), (0,1) (8,3) and (15,4)
Finally, add 4 units to the y-coordinate: (-1,4), (0,5) (8,7) and (15,8)
In effect, you are shifting the basic √x curve one unit to the left and raising it 4 units vertically.
see graph below as a visual check on the answers:
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