Question

What is the range of the function graphed below?

Answer 1

Answer:

[-4,0) ∪ [2,∞)

Step-by-step 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 $-4\leq y$

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.

Answer 2

The range is all real numbers x such that x≥-4 except 0<x≤2