Final answer:
The domain and range of a graph describe all the possible x-values and y-values respectively, and are often expressed in interval notation. Histograms, which depict frequencies of data in intervals, are constructed using equal-width bins, and the axes should be scaled appropriately. Relative frequency is the frequency of a value or range of values relative to the total number of observations.
Step-by-step explanation:
The domain of a graph represents all the possible input values (typically x-values) for the function depicted by the graph, whereas the range represents all possible output values (typically y-values). When asking for these in interval notation, you are looking to capture the continuous span of numbers that x can take (for domain) and y can take (for range).
Regarding histograms, these are specific types of bar graphs that group data into intervals (or bins). To construct a histogram, you will need to collect your data and divide it into five to six equal-width intervals. Then, sketch the graph using a ruler and pencil and scale the axes proportionally according to the data. The frequency of data within each interval is then represented by the height of the bar for that interval.
For the part of the question regarding relative frequency, this is a measure of how often a certain value or range of values occurs relative to all observations. To find the relative frequency of scores in the 70-79 range in a class of 35 students, where seven students scored within this range, you would divide 7 (the frequency of that score range) by 35 (the total number of students), and express it as a percentage or a fraction.