Determine the correct domain for the function in the graph below.
a) D: {1, 3, 4, 5, 6}
b) D: {1, 2, 3, 4, 5, 6, 7}
c) D: {2, 3, 5, 7, 9}
d) D: All real numbers
The correct domain for the function in the graph is d) D: All real numbers. The graph extends infinitely in both the positive and negative x-directions, indicating that the function is defined for all real numbers.
To determine the correct domain for the function in the graph, we need to consider all the x-values or inputs shown on the graph.
Looking at the graph, we can see that there are points plotted for x-values 1, 3, 4, 5, and 6. Therefore, we can conclude that the correct domain for the function in the graph is:
D: {1, 3, 4, 5, 6}
So, option a) is the correct domain.
To determine the correct domain for the function in the graph, we need to look at the x-values or inputs that are represented in the graph. The domain is the set of all possible x-values for which the function is defined.
By examining the graph, we can see that the function is defined for all x-values shown. From the leftmost point to the rightmost point, we have x-values of 1, 2, 3, 4, 5, and 6.
Option a) D: {1, 3, 4, 5, 6} only includes some of the x-values shown in the graph, so it is not the correct domain.
Option b) D: {1, 2, 3, 4, 5, 6, 7} includes all of the x-values shown in the graph, so it could be the correct domain.
Option c) D: {2, 3, 5, 7, 9} does not include all of the x-values shown in the graph, so it is not the correct domain.
Option d) D: All real numbers includes all possible x-values, so it is a valid choice for the domain.
Based on the information provided, the correct domain for the function in the graph is d) D: All real numbers.