Answer:
Range = (-∞, 5)
Explanation:
This is the absolute value function with transformation.
The parent function is f(x) = |x|
This function has a "negative" in front, so it makes it reflect about x axis
The -4 after x makes horizontal translation of 4 units right
the +5 at the end makes the function translate 5 units UP
The graph is shown in the attached picture.
Looking at the graph, we can clearly see the range. The range is the allowed y-values. Hence, we can see that the range is -infinity to 5
answer is not properly given, so i can't choose from the options, but the answer is -∞, 5 to 5