Question

The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?

Answer 1

Answer:

(–∞, –1) is the answer

Step-by-step explanation:

Answer 2

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.