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ad-work [718]
3 years ago
8

Describe how the graph of each function differs from the graph of f(x)=|x|. Then determine the domain and range.

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
7 0

A. We can compress the graph of the function f(x)=|x| in the y-direction by multiplying the whole function by a constant C, such that 0 Since 0, the graph of the function g(x)= 0.6|x| is obtained from the graph of the function  f(x)=|x| by compression in the y-direction.

B. We can stretch the graph of the function f(x)=|x| in the y-direction by multiplying the whole function by a constant C, such that C>1. Since 4>1,, the graph of the function g(x)= 4|x-3| is obtained from the graph of the function  f(x)=|x| by compression in the y-direction and translation 3 units to the right.

C. We can flip the graph of the function  f(x)=|x| upside down by multiplying the whole function by −1, then translate 1 unit to the left and 5 units up. Then we will get the function g(x)=-|x+1|+5.

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-12-x&gt;-12+4x<br> put the steps too pls thanks
andrey2020 [161]

Answer:

x < 0

Step-by-step explanation:

Firstly put the values with variable x to one side,

; -12 - x > -12 + 4x

; -12 + 12 > 4x + x

; 0 > 5x

then divide both sides by 5,

; (0 ÷ 5) > (5x ÷ 5)

; 0 > x

; Hence the solution to the inequality above,

; x < 0...always remember to reverse the sign when you change the side to which you put the variable of x,

Therefore...( x < 0 )

3 0
4 years ago
Which of the binomials below is a factor of this trinomial?
Leokris [45]

Answer:

x+5 is the factor..

Step-by-step explanation:

xsquare + (8+5)x + 40

or, xsquare +8x+5x+40

or, x(x+8)+5(x+8)

(x+5)(x+8)

4 0
4 years ago
The balance in Victor's savings account went from $80 to $120. By what percentage
Nookie1986 [14]

Answer:

50%

Step-by-step explanation:

To find the percent increase, divide the increase by the original value.

The increase is $40.

The original value is $80.

40÷80 = 0.5

0.5 ⇒ 50%

It is a 50% increase.

4 0
4 years ago
What is the area of the front AND back faces? *
frosja888 [35]

Answer:

Step-by-step explanation:

A=5(8)+5(8)

A=40+40

A=80in^2

8 0
3 years ago
A company wants to decrease their energy use by 17%. If their electric bill is currently $2500 a month, what will their bill be
expeople1 [14]
We need to find out how much 17 percent of 2,500 is, and then subtract that amount by 2,500. We can use proportions to use this. We can set up a fraction with x/2500 and another fraction with 17/100. Then, we need to cross multiply. This gives us 42,500. Next, we can divide by 100. This gives us 425. We know that they will save $425 if they decrease their energy use by 17%. We now need to subtract $425 from $2,500. This gives us $2,075. If the company is successful in decreasing their energy use by 17%, their bill would be $2,075.

8 0
3 years ago
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