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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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                  j = 90

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Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    1/2/3*j-(15)=0  

Step by step solution :

Step  1  :

           1

Simplify   —

           2

Equation at the end of step  1  :

  1              

 (— ÷ 3 • j) -  15  = 0  

  2              

Step  2  :

        1      

Divide  —  by  3

        2      

Equation at the end of step  2  :

  1          

 (— • j) -  15  = 0  

  6          

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  6  as the denominator :

         15     15 • 6

   15 =  ——  =  ——————

         1        6    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

j - (15 • 6)     j - 90

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Equation at the end of step  3  :

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Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

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 j-90

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