Question

Which statements are true about the domain and range of the part of the function shown?Select TWO correct answers.(1 point)The domain is the set of all real numbers greater than 1 and less than or equal to 5.The range is the set of all real numbers greater than 1 and less than or equal to 5.The domain is the set of all real numbers greater than or equal to 0 and less than 4.The domain is the set of all real numbers.Skip to navigation

Answer 1

I can’t tell which two are correct without seeing the graph. Please upload the picture or describe it (where the graph starts/ends, whether endpoints are open or closed, and whether there are arrows extending off the left/right/top/bottom).

How to decide from the graph:
- Domain = all x-values covered by the graph (project the graph onto the x-axis). If an endpoint at x = a is a filled dot include a; if it’s an open dot exclude a. If the curve has arrows extending left or right, include ±∞ (i.e., “all real numbers”).
- Range = all y-values covered by the graph (project onto the y-axis) with the same open/closed-dot rule for top/bottom endpoints.

Example: if the piece shown is a segment that starts at x = 1 with an open dot and ends at x = 5 with a closed dot, the domain is (1, 5]. If the y-values of that segment go from just above y = 1 up to y = 5 inclusive, then the range would be (1, 5].

Send the graph or description and I’ll pick the two correct statements.