To determine the range of the function based on the given elements, let's first understand what range refers to in this context.

The function $f(x)$ has the following pairs of elements:

$(-7, 3), (-1, 6), (8, -3)$

Each pair is in the form $(x, y)$, where $x$ is the input (or domain value) and $y$ is the output (or range value). The range consists of all the $y$-values.

From the given elements:

• The $y$-value from $(-7, 3)$ is 3.
• The $y$-value from $(-1, 6)$ is 6.
• The $y$-value from $(8, -3)$ is -3.

Thus, the range of the function is the set of all these $y$-values:

$\text{Range} = \{3, 6, -3\}$

Would you like more details or have any further questions?

Here are 5 related questions for further practice:

1. What is the domain of the function based on the given elements?
2. How do you determine if a function is one-to-one given pairs of points?
3. Can a function have multiple $y$-values for the same $x$-value?
4. How would you graph the points of this function?
5. What are the differences between the range and codomain of a function?

Tip: The range refers to all possible output values (or $y$-values) of a function, while the domain refers to all possible input values (or $x$-values).