Rational functions are functions written as fractions. The correct function is [tex]y=-\sqrt{x-6}[/tex]
Rational functions
Rational functions are functions written as fractions.
According to the question, we are to select the function for which as y tends to minus infinity, x will tend to positive infinity.
For the function [tex]y=-\sqrt{x-6}[/tex]
Substitute y = -∞ into the equation
[tex]-\infty=-\sqrt{x-6}\\\sqrt{x-6} = \infty\\x-6=\infty\\x=\infty+6\\x=\infty[/tex]
Hence the correct function is [tex]y=-\sqrt{x-6}[/tex]
Learn more on rational functions here: https://brainly.com/question/1851758
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