<h2>
Answer:</h2>
The domain of the function is:
All real numbers i.e. (-∞,∞)
The range of the function is:
(-∞,0]
<h2>
Step-by-step explanation:</h2>
It is given that:
The graph of an absolute value function opens down and has a vertex of (-3,0).
This means that the graph of the function increases continuously in the interval (-∞,-3] and takes maximum value 0 when x= -3 and then decreases continuously in the interval (-3,∞).
<u>Domain of a function--</u>
It is the set of all the x-values for which a function is defined i.e. it is the set of all the values of the independent variable for which the function is defined.
<u>Range of a function--</u>
It is the set of all the values attained by a function.
- We know that a absolute value function is defined all over the real line i.e. the domain of the function is the set of all the real values i.e. (-∞,∞).
- Also, the function takes all the value between -∞ and 0 and 0 is included.
Hence, the range of the function is: (-∞,0].
