Using the domain and range concepts, it is found that:
- For the first relation, the domain is [tex]-1 \leq x < 1[/tex], and the range is [tex]-1 \leq y \leq 0[/tex].
- For the second relation, the domain is [tex]-1 \leq x \leq 1[/tex], and the range is [tex]-1 \leq y \leq 1[/tex].
What are the domain and the range of a function?
- The domain of a function is the set that contains all the values of the input.
- The range of a function is the set that contains all the values of the output.
In a graph:
- The domain is given by the x-values, the horizontal axis.
- The range is given by the y-values, the vertical axis.
Hence:
- For the first relation, the domain is [tex]-1 \leq x < 1[/tex], and the range is [tex]-1 \leq y \leq 0[/tex]. The open circle at x = 1 means that x = 1 is not part of the domain, hence we have an open interval.
- For the second relation, the domain is [tex]-1 \leq x \leq 1[/tex], and the range is [tex]-1 \leq y \leq 1[/tex].
More can be learned about domain and range concepts at https://brainly.com/question/27566140
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