Answer:
\((-\infty,-1)\) interval is the function decreasing.
Step-by-step explanation:
Given : The graph of \(f(x) = |x|\) is transformed to \(g(x) = |x+1|-7\)
To find : On which interval is the function decreasing?
Solution :
First we plot the graph of both the functions,
The graph of \(f(x) = |x|\) is shown with black line.
The graph of \(g(x) = |x+1|-7\) is shown with violet line.
Refer the attached figure below.
The graph shows the interval over which it is increasing or decreasing.
As we notice it is increasing on the interval \((-1,\infty)\)
Decreasing on \((-\infty,-1)\)
Therefore, \((-\infty,-1)\) interval is the function decreasing.
