review the graph of function g(x). what are the limits, if they exist? lim g(x) x→4- and lim g(x) x→4+ lim…

Explanation:

Step1: Analyze left - hand limit

As (x) approaches (4) from the left ((x\to4^{-})), we look at the part of the graph where (x) values are less than (4) but getting closer to (4). Following the curve, the (y) - value approaches (- 4). So, (\lim_{x\to4^{-}}g(x)=-4).

Step2: Analyze right - hand limit

As (x) approaches (4) from the right ((x\to4^{+})), we look at the part of the graph where (x) values are greater than (4) but getting closer to (4). Following the curve, the (y) - value approaches (2). So, (\lim_{x\to4^{+}}g(x)=2).

Answer:

(\lim_{x\to4^{-}}g(x)=-4) and (\lim_{x\to4^{+}}g(x)=2)