A graph has the domain 1≤x<5. Describe the end points of the graph. Include where the end points are, what they look like on the graph, and if the corresponding y-values are included in the range of the function.
since you give no y-values, all I can say is that there is some curve which covers the given interval, and you want the two endpoints.
The one on the left will be solid shape, and the one on the right will be an empty outline.
The left endpoint is included, the right one is not.
To describe the end points of the graph with the given domain 1≤x<5, we need to consider the limits of the domain.
The lower end point occurs when x = 1. In this case, the graph will have a vertical line at x = 1, indicating that it starts at that point. Since the domain is defined as 1≤x<5, the corresponding y-value is included in the range of the function.
The upper end point occurs when x approaches 5 but does not include the value 5 itself. Therefore, there will be an open circle (empty dot) at x = 5 to indicate that the graph does not continue beyond that point. Since the range is not specified, we cannot determine if the corresponding y-value at x = 5 is included or not.
In summary:
- The lower end point is at x = 1, depicted by a vertical line on the graph. The corresponding y-value is included in the range.
- The upper end point is at x = 5, represented by an open circle. The corresponding y-value's inclusion in the range is uncertain without further information.