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i need to find the:domain,range, and to know which one of this options would it be:the graph (is or is not) the graph of a function because a vertical line (cannot or can) be drawn so that it intersects the graph ( exactly once or exactly zero times or more than once)

i need to find thedomainrange and to know which one of this options would it bethe graph is or is not the graph of a function because a vertical line cannot or class=

Respuesta :

The Solution.

The given graph is not the graph of a function, since the graph has two values, ( f(x) = -5 or - 1), at x = -5. So, by vertical test, the graph is not a function.

The second part of the question is the domain and the range.

The domain is an interval, which is,

[tex]-\inftySo, option B is the correct answer.

The range is also an interval, which is

[tex]Range(-\infty,\infty)\text{ or -}\infty