y = - 3
First draw the graph of y =
Next draw the graph of y =
which is the red graph shifted left 1 unit to the left.
That's the green graph below:
Finally draw the graph of y = - 3, which is the
green graph shifted 3 units down. That's the blue graph below:
To find the domain, set the expression under the square root
radical ≧ 0.
x + 1 ≧ 0
x ≧ -1
This is the graph of the domain:
This is the interval notation for the domain:
The range is from the lowest value of y, which is -3 to infinity,
represented by the inequality y ≧ -3.
the green part of the vertical number line below is the graph of
The interval notation for the range is