Question

what are the left and right end behaviors of the rational function (y values)? 2. graph of g(x) left: ______ right: ______

Explanation:

Step1: Observe left - hand side

As $x\to-\infty$, the $y -$values approach $2$.

Step2: Observe right - hand side

As $x\to+\infty$, the $y -$values approach $2$.

Answer:

Left: $y\to2$ as $x\to-\infty$
Right: $y\to2$ as $x\to+\infty$