Question

match each expression with its value.
-3 -7 -8 undefined
$h(-2)$
$h(-1.999)$
$h(0.999)$
$h(1)$
(graph of $y = h(x)$ is provided with coordinate grid and function segments)

Explanation:

Step1: Locate $h(-2)$ on graph

The point $x=-2$ is a closed dot at $y=-3$.

Step2: Locate $h(-1.999)$ on graph

$x=-1.999$ is just right of $x=-2$, in the segment with $y=-7$.

Step3: Locate $h(0.999)$ on graph

$x=0.999$ is just left of $x=1$, in the segment with $y=-7$.

Step4: Locate $h(1)$ on graph

$x=1$ is a closed dot at $y=-8$.

Answer:

• $h(-2)$: $-3$
• $h(-1.999)$: $-7$
• $h(0.999)$: $-7$
• $h(1)$: $-8$