Question

match each expression with its value.
-9 7 -2 undefined
$h(3.999)$
$h(4)$
$h(4.0001)$
$h(9)$
(chart of $y = h(x)$ is shown with grid, axes, and line segments with endpoints and open circles)

Explanation:

Step1: Locate x=3.999 on graph

3.999 is just left of x=4, on the top horizontal segment with $y=7$.

Step2: Locate x=4 on graph

x=4 is at an open point for both adjacent segments; no closed point exists here.

Step3: Locate x=4.0001 on graph

4.0001 is just right of x=4, on the middle horizontal segment with $y=-2$.

Step4: Locate x=9 on graph

x=9 is at the open right end of the middle segment; no closed point exists here.

Answer:

• $h(3.999)$: 7
• $h(4)$: Undefined
• $h(4.0001)$: $-2$
• $h(9)$: Undefined