Question

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Answer 1

Answer:

Option D

Step-by-step explanation:

x is given to be 4 in this case, so all we would have to is plug it into the following function -

$f ( x ) = \left \{ {{x - 2, x < 4 } \atop {x + 2, x \geq 4 }} \right$

Through substitution, you would receive the following function -

$f ( x ) = \left \{ {{2, 4 < 4 } \atop 6, 4 \geq 4 }} \right$

Now the graph proves that this function is closer to 4, and thus proves that the y - coordinate is about 2 at the same time. However, the graph is cut off, so the limit doesn't exists.