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

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SOFIABEGLEY0404

Middle School

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

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(Based on todays review)

frika

Verified answer

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.
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