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.
I don't know where to start. I'm really confused by this question.
the end point x=1 is included, but x=5 is not included
1..........(5
Thank you
To describe the end points of the graph with the given domain, it's helpful to understand what the domain and range represent.
The domain refers to all possible values of the independent variable (in this case, x) that can be used as inputs in the function. In your case, the domain is given as 1≤x<5, which means that x can take any value greater than or equal to 1 and less than 5.
Now, let's look at the end points of the graph. The given domain, 1≤x<5, indicates that the graph starts at x = 1 and ends just before x = 5. This means that the left end point of the graph is located at x = 1.
To determine the appearance of the end points on the graph, you would need to know the specific function or equation being graphed. Without this information, it is not possible to provide a precise description of the shape or appearance of the graph itself.
Regarding the corresponding y-values, since the question does not provide any information about the range of the graph, we cannot determine if the y-values at the end points are included or not included in the range of the function. The range would depend on the specific function and its behavior within the given domain.
To describe the end points of the graph with a given domain, you need to understand what the domain and range represent in a graph. The domain represents all the possible x-values in the graph, while the range represents all the possible y-values.
In this case, the given domain is 1≤x<5, which means that the x-values of the graph range from 1 (inclusive) to 5 (exclusive).
To start describing the end points, you need to consider the two extremes of the x-values within the given domain. Since the range is not specified, we cannot determine the corresponding y-values at this point. However, we can still describe the end points based on the x-values.
One end point of the graph would be x = 1. This means that the graph starts at x = 1 and continues to the right. The end point at x = 1 can be represented as a filled-in circle on the graph to indicate that it is included in the graph.
The other end point would be x = 5. This means that the graph ends right before reaching x = 5. The end point at x = 5 can be represented as an open circle on the graph to indicate that it is not included in the graph.
Since the corresponding y-values are not specified, it is unclear whether they are included in the range of the function. The end points only describe the x-values and their representation on the graph.
To better understand the graph and determine the corresponding y-values, you would need additional information such as the equation or the specific graph representation.