Question

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

Answer 1

Answer: option a.

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`