Question

What is the range of the function graphed below?

Answer 1

Answer: B (-4,0) u (2, infinity symbol)

Step-by-step explanation: edge 2021

Answer 2

[-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.