Determine the domain and range of the following functions.
The domain is the set of the possible x -values. The graph spreads horizontally from -2 to 3. Therefore the domain is \left[-2{,}3\right].
The range is the set of possible y -values. Here, the graph spreads vertically from -1 to 3. Therefore the range is \left[-1{,}3\right].
- The domain is : \left[-2 , 3\right]
- The range is : \left[-1 , 3\right]
The domain is the set of the possible x -values. The graph spreads horizontally from -1 to 1. Therefore the domain is \left[-1{,}1\right].
The range is the set of possible y -values. Here, the graph spreads vertically from -4 to 2. Therefore the range is \left[-4{,}2\right].
- The domain is : \left[-1{,}1\right]
- The range is : \left[-4{,}2\right]
The domain is the set of the possible x -values. The graph spreads horizontally from -2 to 4 Therefore the domain is \left[-2{,}4\right].
The range is the set of possible y -values. Here, the graph spreads vertically from 0 to 4. So the range of f is \left[0{,}4\right].
- The domain is : \left[-2 , 4\right]
- The range is : \left[0 , 4\right]
The domain is the set of the possible x -values. The graph spreads horizontally from -3 to 2 but it is not defined from -1 to 1. Therefore the domain is \left[-3,-1\right] \cup \left[1{,}2\right].
The range is the set of possible y -values. Here, the graph spreads vertically from 0 to 4. Therefore the range is \left[0{,}4\right].
- The domain is : \left[-3 , -1\right] \cup \left[1{,}2\right]
- The range is : \left[0 , 4\right]
The domain is the set of the possible x -values. The graph spreads horizontally from -2 to 2. Therefore the domain is \left[-2{,}2\right].
The range is the set of possible y -values. Here, the graph spreads vertically from -2 to 2. Since f\left(0\right)=1, 2 does not lie in the range of f. Therefore the range is \left[-2{,}2\right).
- The domain is : \left[-2 ,2\right]
- The range is : \left[-2{,}2\right)
The domain is the set of the possible x -values. The graph spreads horizontally from -2 to 4 but is not defined at x_0 = 4. Therefore the domain is \left[-2{,}4\right).
The range is the set of possible y -values. Here, the second coordinates can only take the integers between -2 and 3. Therefore, the range of f is \{-2,-1{,}0{,}1{,}2{,}3\}.
- The domain is : \left[-2 , 4\right)
- The range is : \{-2,-1{,}0{,}1{,}2{,}3\}
The domain is the set of the possible x -values. The graph spreads horizontally from -3 to 2. Therefore the domain is \left[-1{,}2\right].
The range is the set of possible y -values. Here, the graph spreads vertically from 0 to 3, there is a hole in point 3 and f\left(0\right)=4. Therefore the range is \left[0{,}3\right) \cup \{4\}.
- The domain is : \left[-3 , 2\right]
- The range is : \left[0, 3\right) \cup \{4\}