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

Question

asked Jan 12, 2020 92.1k views

1 Answer

Lolade · Answer 1 · 2020-01-17T14:59:50+0000

Answer:

C.
y=√(2x-6)+1

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=√(x).

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

The function
y=√(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.