I can help you analyze the table in the image and solve the given questions step by step.

Table Data:

From the table in the image:

• $t = -3, -2, -1, 0, 1, 2, 3$
• $h(t) = -1, 0, -3, -2, -1, -2, 0$

Now, let's answer the questions:

(a) $h(0)$:
From the table, when $t = 0$, $h(t) = -2$.
Thus, $h(0) = -2$.

(b) Enter the answers in increasing order.

We are asked to find values of $h(t) = 0$ and $h(t) = 0$ from the table.

• From the table, $h(t) = 0$ when $t = -2$ and $t = 3$.
  Thus, the answers in increasing order are: $t = -2$ and $t = 3$.

(c) $h(-2)$:
From the table, when $t = -2$, $h(t) = 0$.
Thus, $h(-2) = 0$.

(d) Enter the answers in increasing order.

We are asked to find when $h(t) = -2$.

• From the table, $h(t) = -2$ when $t = -1$ and $t = 2$.
  Thus, the answers in increasing order are: $t = -1$ and $t = 2$.

Would you like more details on any of these steps?

Here are five related questions to deepen your understanding:

1. What is the general relationship between $t$ and $h(t)$ in this function?
2. How would you graph the function $h(t)$ based on the given table?
3. If the values of $h(t)$ were reversed, how would the answers change?
4. How can you check if this function $h(t)$ is continuous or not?
5. What other values of $t$ would yield $h(t) = 1$, if the table extended further?

Tip: When interpreting tables, always check the trend or pattern between the values of $t$ and $h(t)$ to anticipate future questions or extend the function beyond the given points.