How do you find the domain and range and is it a function given points #{(2,-3), (9,0), (8m-3), (-9,8)}#?

A range is a set of points {-3,0,-3,8}, while a domain is a set of points {2,9,8m,-9}.

Given that every point in the domain has a single image, the answer is yes.

To find the domain and range of a function given points {(2,-3), (9,0), (8m-3), (-9,8)}, we first need to identify the x-values and y-values in the given points.

The domain of a function is the set of all possible x-values, and the range is the set of all possible y-values.

For the given points:

• The x-values are: 2, 9, 8m, -9.
• The y-values are: -3, 0, 8, 8.

So, the domain of the function consists of all the x-values: {2, 9, 8m, -9}.

The range of the function consists of all the y-values: {-3, 0, 8}.

Whether this set of points represents a function depends on whether each x-value is associated with exactly one y-value. If there are any repeated x-values with different y-values, then it is not a function. Similarly, if there are any repeated y-values with different x-values, then it is not a function.

In this case, we do not have repeated x-values, so it seems to be a function. However, we should clarify the value of 'm' to ensure that the x-values are uniquely determined for each y-value. If 'm' is a constant, then the function represents a vertical line, which passes the vertical line test and is indeed a function.