Question

What is the range of the function f(x) = -|X - 4| + 5?

Answer 1

Answer:

Range = (-∞, 5)

Step-by-step 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