Question

What is the domain and range of \[y=-1\]?

Answer 1

Hint: Firstly, when we check out the values that the function takes upon \[x-axis\] or the horizontal axis are considered to be the domain of the function \[y=-1\]. Secondly, we are supposed to check out the values that the function takes upon the \[y-axis\] or the vertical axis is considered to be the range of the function \[y=-1\].

Complete step by step solution:
Now let us know more about the domain and range.
Domain: The domain is a set of all possible \[x-\] values which makes the function work and will provide us with the real \[y-\] values.
Range: The range is a set of all possible resulting values after we substitute all the possible \[x-\]values.
Now from the question, we have the function \[y=-1\].
Let us find out the domain and range of \[y=-1\].
Firstly let us find out the domain of \[y=-1\]. We can observe that \[y=-1\] is a horizontal line at \[y=-1\]. Now we can take all the real numbers from the horizontal axis i.e. \[-\infty \] to \[\infty \].
Since all the real numbers are considered, we can conclude that the domain of the function \[y=-1\] is \[R\].
Now let us find out the range of the function \[y=-1\].
We have seen that \[y=-1\] is a horizontal line at \[y=-1\].So \[y=-1\] takes only \[-1\] upon the \[y-axis\].
And hence we can conclude that the range of \[y=-1\] is \[\{-1\}\].

Note: While finding the domain we must note that the denominator cannot be \[0\] and also the number under a square root must be a positive number. The domain and range can be found out by using graphs also.
Let us plot \[y=-1\] on the graph.