Which of the following functions is graphed below?

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.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are