We are asked to find the range of a function if the domain of a function that is reflected over the x-axis is
(1, 5), (2, 1), (1, -7)
Recall that the domain is all the possible x values and the range is all the possible y values.
From the given ordered pairs, the range of the function that is reflected over the x-axis is
{5, 1, -7}
Now we know that the following rule is used for reflection over the x-axis
[tex](x,y)\rightarrow(x,-y)_{}[/tex]So, applying the above rule, we get
[tex]\mleft\{5,1,-7\mright\}\rightarrow\mleft\{-5,-1,7\mright\}[/tex]Therefore, the range before the reflection over the x-axis is
[tex]range=\{-5,-1,7\}[/tex]