Question

50 POINTS!!! Which function is shown on the graph below? See photo

Answer 1

Answer:

C. $y=\sqrt{2x-6}+1$

Step-by-step explanation:

From the graph of the function, we can see that the domain of the function is $x\ge 3,$ the range of the function is $y\ge 1.$

Consider the parent function $y=\sqrt{x}.$

The domain of this function is $x\ge 0,$ the range of this function is $y\ge 0.$

The function $y=\sqrt{2x-6}+1$ has

the domain

$2x-6\ge 0\\ \\2x\ge 6\\ \\x\ge 3$

and the range

$y\ge 0+1\\ \\y\ge 1$

All other options have different domain, or the range, or both the domain and the range.