Can someone help me find the domain and range of the function (written in interval notation) using the graph I've attached?

Question

jadareese_18 · Answer

attachment

twwc960 · Answer

The domain is the set of all x such that the function is defined.  Inspecting the graph, we have corresponding y values for all x strictly greater than -6 and less than or equal to -1 as well as for x strictly greater than 1 and less than or equal to 5.  The domain is thus,:  (-6,-1] ∪ (1,5].  The range is the set of y values that have x values corresponding to them so in a similar fashion that the method used to compute the domain, we find that the range is (-3,2] ∪ [3,7).  (Note round brackets are used when the end point is NOT to be included in the interval, and square brackets are used when the corresponding end point IS included.)

jadareese_18 · Answer

Thank you so much!  That really helped clear things up for me.  I appreciate the help a lot @twwc960

twwc960 · Answer

You're very welcome!