Question

match each expression with its value.
2 -9 -1 undefined
$g(-0.0001)$ $circ$ $circ$ $circ$ $circ$
$g(0)$ $circ$ $circ$ $circ$ $circ$
$g(0.0001)$ $circ$ $circ$ $circ$ $circ$
$g(9)$ $circ$ $circ$ $circ$ $circ$
(graph of $y = g(x)$ is provided with grid, axes, and line segments with open/closed circles)

Explanation:

Step1: Locate $x=-0.0001$ on graph

$x=-0.0001$ is in the interval of the lower horizontal segment (near $x=0$, left side), so $g(-0.0001)=-9$

Step2: Locate $x=0$ on graph

$x=0$ has a filled point at $y=-1$, so $g(0)=-1$

Step3: Locate $x=0.0001$ on graph

$x=0.0001$ is in the interval of the right horizontal segment, so $g(0.0001)=-1$

Step4: Locate $x=9$ on graph

$x=9$ is an open point, so $g(9)$ is undefined

Answer:

• $g(-0.0001)$: $-9$
• $g(0)$: $-1$
• $g(0.0001)$: $-1$
• $g(9)$: Undefined