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BARSIC [14]
3 years ago
14

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

Mathematics
2 answers:
vichka [17]3 years ago
8 0

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.

SOVA2 [1]3 years ago
5 0

Answer:

(–∞, –1) is the answer

Step-by-step explanation:


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