Question

match each expression with its value.
-9 7 -2 undefined

h(3.999)

h(4)

h(4.0001)

h(9)

(graph of y = h(x) is provided with grid, points, and intervals.)

Explanation:

Step1: Locate x=3.999 on graph

The value $x=3.999$ lies in the interval of the top horizontal segment (where $y=7$).

Step2: Locate x=4 on graph

The point $x=4$ is an open circle for both adjacent segments, so no defined value exists here.

Step3: Locate x=4.0001 on graph

The value $x=4.0001$ lies in the middle horizontal segment (where $y=-2$).

Step4: Locate x=9 on graph

The point $x=9$ is an open circle for the middle segment, and no other segment includes $x=9$, so no defined value exists here.

Answer:

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