Which of the following functions is graphed below?

we have that

observing the graph of the problem, it is evident that the solution is option D, since the graph of the parabola presents a domain for x <4 and the line presents a domain for x> = 4 and the only option with these two conditions is option D

using a graph tool
I proceed to verify
see the attached figure

the answer is the option D

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frika frika · Answer 2 · 2018-09-23T09:28:44+02:00

The graph consists of two parts: left part (with sign < or ≤) - parabola and right part (with sign > or ≥) - straight line.

Determine signs:

From the diagram you can see that the right endpoint (4,19) of parabola is not included. This means that x cannot be equal to 4 at this part of graph and the sign should be <.

Also you can see that the left endpoint (4,8) of line is included. This means that x=4 belongs to the right part and the sign should be ≥.

Using previous conclusions, you can state that correct choice is D.