Final answer:
To complete a function table and plot points, plot the given points on a Cartesian coordinate system, label the axes, connect the points to show the dependence of y on x, and if there is a function rule, use it to calculate additional y-values.
Step-by-step explanation:
To complete the function table for the given domain and plot points on a graph, follow these steps:
- Start with the given domain, which is a set of x-values for which the function is defined. The points you have are (1,5), (2,10), (3,7), and (4,14).
- Plot each of these points on a Cartesian coordinate system by drawing a dot at the location that corresponds to each (x,y) pair.
- Label the x-axis (horizontal axis) and the y-axis (vertical axis). The x-axis will represent the domain values (1, 2, 3, 4), and the y-axis will represent the corresponding function values (5, 10, 7, 14).
- Connect the points with a line or curve to represent the dependence of y on x. This line or curve shows the relationship between the two variables if they follow a specific mathematical rule.
- If additional points or a function rule like y = x² + 2 is given, calculate the y-values using the rule for each x in the domain and plot these additional points.
- Once all points are plotted, you can observe the pattern or trend that the data points follow on the graph.