Final answer:
The range of a function is the set of all possible y-values it can output. For the function consisting of points (17,12), (21,14), (27,25), (32,29), the range is {12, 14, 25, 29}.
Step-by-step explanation:
When determining the range of a function, we look at the y-values of the ordered pairs that make up the function. In the case of the function provided, which only consists of the points (17,12), (21,14), (27,25), (32,29), we want to find the set of all possible y-values. The given points have y-values of 12, 14, 25, and 29.
To find the range, we identify the smallest and the largest y-values. Here, the smallest y-value is 12 and the largest is 29. Therefore, the range of the function is {12, 14, 25, 29}. This set contains all the y-values that the function outputs, and it shows us the function's output limits.
In cases where we have an equation of a function and a domain specified, we could use the equation to determine all the y-values for that domain. However, since we have discrete points here, we take those specific y-values to define our range. Additionally, since these are the only points that make up the function, the function does not have output values other than those listed, hence no need to use an interval notation for an unbroken sequence of numbers to indicate the range.