Certainly! Let's go through the entire question step-by-step.
### 1. a) Label the axes and plot the points from the table of values given above. (2 marks)
Labeling the Axes:
- For the x-axis, we label it as "June Date, [tex]\( d \)[/tex]".
- For the y-axis, we label it as "Guitars Sold, [tex]\( g \)[/tex]".
Plotting the Points:
Here is the table of values given:
[tex]\[
\begin{tabular}{|c|c|}
\hline
\text{June Date, } d & \text{Guitars Sold, } g \\
\hline
1 & 8 \\
\hline
2 & 4 \\
\hline
3 & 6 \\
\hline
4 & 2 \\
\hline
5 & 9 \\
\hline
\end{tabular}
\][/tex]
To plot these points, we would place points at:
- (1, 8)
- (2, 4)
- (3, 6)
- (4, 2)
- (5, 9)
### 1. b) Type of data graphed (discrete or continuous)? Justify your answer. (2 marks)
Type of Data:
- The data is discrete.
Justification:
- Discrete data consists of distinct, separate values. Here, the number of guitars sold each day is counted in whole numbers. You cannot sell a fraction of a guitar.
- The dates are also distinct and separate days. This means we're dealing with individual, countable values.
### 1. c) State the domain and range using appropriate notation for the type of data that you graphed. (2 marks)
Domain:
- The domain of a function is the set of all possible input values (in this context, the dates).
- For the given data:
[tex]\[ \text{Domain} = \{1, 2, 3, 4, 5\} \][/tex]
Range:
- The range of a function is the set of all possible output values (in this context, the number of guitars sold).
- For the given data:
[tex]\[ \text{Range} = \{2, 4, 6, 8, 9\} \][/tex]
By following these steps, we have effectively labeled our axes, plotted the points, identified the data type as discrete, and stated the domain and range correctly.
