Question

match each expression with its value.
6 2 -6 undefined
$g(-5)$ $circ

$$circ$ $circ$ $circ$ $g(-4.0001)$ $circ$$

circ$ $circ$ $circ$
$g(-4)$ $circ

$$circ$ $circ$ $circ$ $g(-3.999)$ $circ$$

circ$ $circ$ $circ$
(graph: $y = g(x)$ with grid, points, and intervals as shown)

Explanation:

Step1: Locate $g(-5)$ on the graph

The point $x=-5$ lies on the horizontal segment with $y=2$ (filled dot at $x=-5$).

Step2: Locate $g(-4.0001)$ on the graph

$x=-4.0001$ is just left of $x=-4$, on the segment with $y=6$.

Step3: Locate $g(-4)$ on the graph

$x=-4$ has no filled dot (only open dots), so the value is undefined.

Step4: Locate $g(-3.999)$ on the graph

$x=-3.999$ is just right of $x=-4$, on the segment with $y=2$.

Answer:

$g(-5)$: 2
$g(-4.0001)$: 6
$g(-4)$: Undefined
$g(-3.999)$: 2