Answer :
A function that is shown on the graph above include the following: C. [tex]y =\sqrt{2x-6} +1[/tex]
In Mathematics, a range is the set of all real numbers that connects with the elements of a domain for any function, usually read from bottom to top.
A domain is the set of all real numbers (x-values) for which a particular function is defined, usually read from left to right.
By critically observing the graph shown in the image attached above, we can logically deduce the following domain (x-values from left to right) and range (y-values from bottom to top):
Domain = x ≥ 3
Range = y ≥ 1
In this context, a square root function that has the above key features is given by;
[tex]y =\sqrt{2x-6} +1[/tex]
Check:
2x - 6 ≥ 0
2x ≥ 6
x ≥ 6/2
x ≥ 3 (domain)
y ≥ 1 (range)
