1. Function: Yes
Domain: {-5, 0, 7}
Range: {2, 5, 9}
2. A graph with points plotted that do not pass the vertical line test, indicating it is not a function.
3. Function: Yes
Domain: {-5, -2, 0, 3, 5}
Range: {-6, -4, 0, 5, 12}
4. A graph of a straight line that passes the vertical line test, indicating it is a function.
5. Function: No (because the x-value 3 corresponds to two different y-values)
6. A mapping diagram with x-values having multiple y-values, indicating it is not a function.
The image contains a worksheet with six problems, each asking to determine whether a given graph, list, mapping, or table represents a function, and if so, to state the domain and range. Here are the details for each problem:
1. A table with three pairs of x and y values:
- (-5, 2)
- (0, 5)
- (7, 9)
Function: Yes
Domain: {-5, 0, 7}
Range: {2, 5, 9}
2. A graph with points plotted that do not pass the vertical line test, indicating it is not a function.
3. A mapping diagram with unique x-values all having a single y-value:
- (-5, -6)
- (-2, -4)
- (0, 0)
- (3, 5)
- (5, 12)
Function: Yes
Domain: {-5, -2, 0, 3, 5}
Range: {-6, -4, 0, 5, 12}
4. A graph of a straight line that passes the vertical line test, indicating it is a function.
5. A table with four pairs of x and y values:
- (-2, -4)
- (3, 0)
- (3, 4)
- (5, 11)
Function: No (because the x-value 3 corresponds to two different y-values)
6. A mapping diagram with x-values having multiple y-values, indicating it is not a function.
For the graphs that are functions (1, 3, and 4), the domain and range can be determined by the x and y values that are included in the function. For the graphs that are not functions (2, 5, and 6), the domain and range are not applicable in the context of a function. The exact domain and range for graph 4 would need to be determined by analyzing the graph further.