. 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 cannot be determined without the graph.
To determine the correct domain for the function in the graph, we need to look at the x-values shown on the graph.
Looking at the graph, we can see that there are points plotted at x = 1, 2, 3, 4, 5, and 6. Therefore, the correct domain for the function is option b) D: {1, 2, 3, 4, 5, 6, 7}.
To determine the correct domain for the function in the graph, we need to consider the x-values, or input values, shown on the graph. The domain of a function is the set of all possible x-values for which the function is defined.
Looking at the graph, we can see that the function is defined and has corresponding y-values for the x-values 1, 3, 4, 5, and 6. This means that the function is defined for these values.
Let's analyze the given options:
a) D: {1, 3, 4, 5, 6} - This option includes all the x-values shown on the graph, so it is a possible domain.
b) D: {1, 2, 3, 4, 5, 6, 7} - This option includes all the x-values shown on the graph and also adds an extra value, 2. Since there is no corresponding point on the graph for x = 2, this option is not correct.
c) D: {2, 3, 5, 7, 9} - This option includes some values not shown on the graph, such as 2, 7, and 9. Since there are no corresponding points on the graph for these values, this option is not correct.
d) D: All real numbers - This option implies that the function is defined for every possible real number. However, looking at the graph, we can't determine if the function is defined outside the shown x-values. Therefore, we can't conclude that the domain includes all real numbers.
Based on our analysis, the correct domain for the function in the graph is option a) D: {1, 3, 4, 5, 6}.