Answer:
Option B
Step-by-step explanation:
Given function is,
f(x) = -|x - 4| + 6
By using a graphing tool we can get the graph of the given function.
From the graph attached slope of the line drawn from [tex]x=-\infty[/tex] to [tex]x=4[/tex] is positive while slope of the line from [tex]x=4[/tex] to [tex]x=\infty[/tex] is negative.
Therefore, segment showing a positive slope will be increasing in the given interval [tex]-\infty<x<4[/tex].
Function 'f' is increasing in the interval [tex]-\infty<x<4[/tex].
Option B will be the correct option.