The domain and range for the graph or relation, attached along with the question statement, will be [-∞, ∞] and [-∞, -3] respectively.
As per the question statement, we are provided with a plotted graph which is depicted as a relation and we are supposed to determine the domain and range of the particular relation.
Now, before solving this question, first we need to know what domain and range of relation or function means.
- Domain of a function or relation refers to the set of all possible input values, that can be fed into that particular function or relation and typically it consists all the input values shown on x-axis.
- Range of a function on the other hand, refers to the set of all possible output values the function will produce according to feeding of input values from it's domain, and typically it consists all the output values shown on y-axis.
Here, our concerned graph extend from (-∞ to ∞) along the x-axis, and it de-escalates along the y-axis from [(y = -3) to (y = ∞)] on the left side side, and maintains a straight line at [y = (-3)] on the right side, that is from [(x = 0) to (x = ∞)] along the x-axis.
Hence Domain : [-∞, ∞] and Range: [-∞, -3]
To learn more about domain and range, click on the link given below:
brainly.com/question/28135761
#SPJ1
