The domain and range of a function are the possible x and y values, the function can take.
- The domain of the graph is: [tex]-2 < x \le 5[/tex].
- The range of the graph is: [tex]-1 < y \le 3[/tex].
- The graph is not one to one
Ai. The domain
From the graph, the x value starts at -2 and ends at 5.
- The open circle at x = -2 indicates that 2 is exclusive of the domain
- The close circle at x = -5, indicates that 5 is inclusive
So, the domain is: [tex]-2 < x \le 5[/tex]
Aii. The range
From the graph, the y value starts at -1 and ends at 3.
- The open circle at y = -1 indicates that -1 is exclusive of the range
- The close circle at y = 3, indicates that 3 is inclusive
So, the range is: [tex]-1 < y \le 3[/tex]
B. Function type
For a function to be a one to one, all values of x must have different y values.
The graph does not indicate a one to one function, because not all x values have a corresponding y value.
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