What is the range of the function graphed below?

Question

asked Oct 3, 2019 99.9k views

2 Answers

Cremz · Answer 1 · 2019-10-09T20:53:40+0000

Answer:

[-4,0) ∪ [2,∞)

Explanation:

Range of a function are all the permitted y-values of the function.

We see that the top part of the function ranges from 2 to ∞ where 2 is included (closed circle at 2)
The bottom part of the function ranges from -4 to 0 where -4 is included (closed circle at -4) and 0 IS NOT included (open circle at 0)

So the range is
$y\geq2$ and
$-4\leq y<0$

Interval notation uses "[" and "]" to show INCLUDED numbers and "(" and ")" to show NON INCLUDED numbers.

So we can write the range as
[-4,0) and [2,∞).

Second answer choice (2nd image attached) is correct.