Question

Use the graph of the function f to determine f(x)

Answer 1

Answer: option a.

Step-by-step explanation:

The $\lim_{x \to a} f(x)$ give us information about the behavior of the function when the variable x gets closer to the value a. In other words, it tells us to what value y gets closer when x gets closer to the value a.

In this case we are evaluating the limits when:

${x \to -3}$

${x \to 0}$

${x \to 2}$

of the function shown in the graph.

As you can observe in the graph, when:

${x \to -3}$ , $y=3$

${x \to 0}$ , $y=0$

${x \to 2}$ , $y=-2$