I have to graph a function; there's an x and y input/output chart. Should I connect the points in my graph?
Take a look at some graphs. You probably do get a better picture if you connect the dots.
When connecting a function rule the table and a graph is important to…
When graphing a function using an x and y input/output chart, you have a couple of options for connecting the points:
1. **Connected Line Plot**: If the points in the chart have some form of logical order or sequence, you can connect them with a line. This is typically done for functions where the values change gradually and smoothly between the given points.
To connect the points, start with the leftmost point and draw a straight line segment to the next point. Repeat this process for each consecutive point until you reach the rightmost point. This will result in a connected line plot.
2. **Discrete Data Plot**: If the points in the chart represent individual data points without any specific order or sequence, it may be more appropriate to represent them as discrete data points rather than connecting them with lines. In this case, you can simply plot each point as a separate dot on the graph.
Consider the nature of the data and the context of your graph to determine the most suitable approach.