Let's take a look at each graph and focus on x = 2.
Let's start with this graph.
As x approaches 2 from the left side ( - ), the value of f(x) approaches 0. In the same manner, as x approaches 2 from the right side ( + ), the value of f(x) is -2.
Let's move on to the other graph.
As x approaches 2 from the left side ( - ), the value of f(x) approaches 0. In the same manner, as x approaches 2 from the right side ( + ), the value of f(x) is -4.
For the third graph,
As x approaches 2 from the left side ( - ), the value of f(x) is -2. In the same manner, as x approaches 2 from the right side ( + ), the value of f(x) approaches 0.
Lastly, for the graph below:
As x approaches 2 from the left side ( - ), the value of f(x) is -4. In the same manner, as x approaches 2 from the right side ( + ), the value of f(x) approaches 0.
In the question, we are looking for approaching from the left side = -4 and approaching from the right side = 0. Out of the 4 graphs, the last graph in the solution shows this. Hence, this is the graph that satisfied the condition.
