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BartSMP [9]
3 years ago
9

What is the range of the function graphed below?

Mathematics
2 answers:
solmaris [256]3 years ago
4 0

Answer:

second one

Step-by-step explanation:

PilotLPTM [1.2K]3 years ago
3 0

Answer:

[-4,0) ∪ [2, ∞)

Step-by-step explanation:

For piecewise function domain and range, we need to understand the difference between "(" and "["  or  ")" and "]"

  • The parenthesis ( "(" and ")" ) are used for "open circles" in the graph.
  • The brackets ( "[" and "]" ) are use for "closed circles" in the graph.

Range is the set of y-values for which the function is defined.

Now,

The upper part of the function shows the graph going from y = 2 towards infinity (arrow). At y = 2 , there is closed circle, so this part range would be

[2, ∞)  (infinity is always with parenthesis)

Now, looking at bottom part, the function is defined from 0 (open circle) to -4 (closed). so we can write:

[-4,0)

This is the range, 2nd answer choice is correct.

[-4,0) ∪ [2, ∞)

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